2024 How to convert a decimal to a fraction

$How to convert a decimal to a fraction$

Decimal to fraction, step by step, example. For all free math videos visit http://Mathmeeting.com.In the case of 45 and 10, the greatest common divisor is 5. This means that to simplify the fraction we can divide by the numerator and the denominator by 5 and we get: 45/5 10/5 = 9 2. And there you have it! In just a few short steps we have figured out what 4.5 is as a fraction. The complete answer for your enjoyment is below: 4 1/2.To convert a fraction to a percent follow the steps given below: Step 1: Divide the numerator by the denominator. Step 2: Multiply the resulting decimal of the above division by 100. Step 3: Express the value using the symbol “%”. Q2.If you have a particular picture in the Portable Document Format (PDF), and you want to turn it into a Word document, there's a simple way to do this without using any other softwa...First of all, if you want to convert a decimal number, you need to know the state of the situation before you convert it, let us say you have 0.333333, number 3 is being repeated infinitely. We all know that 0.333333 is 1/3 . Some people think that multiplying by the number of digits after the decimal point will convert it. That is completely ...Wondering how to convert a Visa gift card to cash? Read our tips for making the most out of an unwanted present. Wondering how to convert a Visa gift card to cash? Read our tips fo...Decimal to fraction calculator. Rewrite any decimal number as a fractional number. Learn how to convert decimal to fraction with step by step instructions. MathStep (Works offline) Download our mobile app and learn to work with fractions in your own time: Android and iPhone/ iPad.A fraction is one way of writing a division. The numerator is divided by the denominator. Fractions can be converted into decimals by processing this division. Convert 3⁄5 to a decimal. 3⁄5 ... Step 1: Convert the fraction into a decimal number. To do this, divide the numerator by the denominator. Step 2: To get a percent value, multiply the obtained decimal number by 100. The result is the fraction as a percent. Write the percent with % symbol next to the answer.HERE'S HOW TO CONVERT REPEATING DECIMALS AS FRACTIONS. Let's use 0.92222... (with the 2 repeating) 1) Since 2, the number being repeated is in the hundredth place, we move the decimal 2 places to the right. (or to the hundredth place) Doing that, we get 92.222222 2) Now the number we get from step 1 is labelled 100𝑥. -> 100𝑥 = 92.22222In fraction form, 2.5 is 5/2. First the decimal portion (0.5) must be calculated. The value of the decimal (5) is put over the place value (10ths) of the decimal (5/10), which is r...Step 4: Simplify the fraction. When converting a recurring decimal to a fraction, we need to find its lowest form. In this case, both 6 and 9 are divisible by 3, so we complete our conversion by stating: 0.6 recurring = 2/3. The above is a basic example of how to convert a recurring decimal into a fraction. However, in most cases, step two is ...To convert a decimal to a fraction: Count the decimal places in your number. Call this number n. Compute 10 to the power of n. That is, write 1 trailed by n zeroes. This is your denominator. Remove …The fraction 11/20 translates to 0.55 in decimal form. To convert a fraction to a decimal, simply divide the fraction’s bottom number, or denominator, into its top number, or numer...Method 2: Convert a Fraction to Decimal Using Long Division. Long division offers another way to convert to decimal form. This is done by identifying the dividend and the divisor, then using those values in long division. First, find the dividend and the divisor. The fraction’s numerator will be the dividend, and the denominator will be the divisor.Nov 2, 2023 · To convert fractions to decimals, look at the fraction as a division problem. Take the top number, or the numerator, of the fraction and divide it by the bottom number, or the denominator. You can do this in your head, by using a calculator, or by doing long division. For example, ¼ is just 1 divided by 4, or 0.25. For example, convert -3.2 into a fraction. Step 1: Remove the negative sign. Consider it as 3.2. Step 2: There is one digit after the fraction, so multiply and divide 3.2 by 10. Step 3: Convert 32/10 to its lowest form and apply a negative sign to the fraction answer. Thus, the answer is -16/5. Fractions Calculators. Learn to add, subtract, multiply and divide fractions. Reduce fractions to lowest terms, simplify, compare and order fractions. Convert fractions to decimals and percentages, work with mixed numbers and improper fractions and solve for X in fractions equations using CalculatorSoup ® online fractions …Decimal to fraction converter. Our online tools will provide quick answers to your calculation and conversion needs. On this page, you can convert decimal number into equivalent fractional number in reduced form. This is useful for figuring out ratios. Decimal value: e.g., 0.5.Example: I have a chart that sums the contracts and groups them by month. The problem is it's displaying the decimals and not allowing me to use a custom format for the results. In excel we can easily do this by choosing RightClick>Format Cells>Number>Custom> "# #/13" Excel. I've created a measure and attempted to format …Jul 29, 2011 ... Decimal numbers with a finite number of digits after the decimal point can be easily converted into fractions. This chapter explains why.Jun 5, 2023 · Choose the fraction form. If the fraction doesn't include a whole number, leave "simple," if it does - choose "mixed." Input the top part of your fraction into the "numerator" field, and the bottom part into the "denominator" field of the fraction to decimal calculator. Input the whole number too, if you've chosen the mixed number option. Convert Percents to Fractions To convert a Percent to a Fraction follow these steps: Step 1: Write down the percent divided by 100 like this: percent 100 Step 2: If the percent is not a whole number, then multiply both top and bottom by 10 for every number after the decimal point. (For example, if there is one number after the decimal, then use 10, if there are …The decimal 2.25 is equal to the fraction 9/4. The decimal first needs to be converted to the basic fraction 2 1/4 before being converted to an improper fraction. The top of a frac...Learn how to convert decimals to fractions with simple steps and examples. Find out the formula, table of contents, repeating decimal to fraction conversion and FAQs for this topic.To convert a fraction to a decimal, you need to understand that the fraction sign — and the division sign ÷ are actually the same! So in other words: a b = a ÷ b. If you use a calculator, it is quite easy to convert a fraction into a decimal. If you do not have a calculator, you can still convert a fraction into a decimal using long (or ...How to Convert a Decimal to a Fraction. To convert a decimal to a fraction follow these steps: Write the decimal digits as the numerator of the fraction. Write the …Question 5: Convert a decimal 0.33 to a fraction. Solution: Step – 1 Divide decimal with 1 = 0.33/1. Step – 2 As there are 2 numbers after point so multiply 10 two …AboutTranscript. Converting percentages to decimals and fractions is a fundamental math skill. To convert 18% into a decimal, simply divide by 100, resulting in 0.18. To express it as a …AboutTranscript. The process of converting a repeating decimal to a fraction can be broken down into a few easy steps. To start, set the decimal equal to a variable. Multiply the decimal by 10 and subtract the original decimal from it. Finally, divide both sides by 9 to obtain the fractional form of the decimal. Divide the numerator by the denominator. Multiply the result by 100. Add the percent sign (%). For example, if you want to convert 3/4 to a percentage, follow these steps: Take the fraction: 3/4. Divide the numerator by the denominator: 3 / 4 = 0.75. Multiply the result by 100: 0.75 x 100 = 75. Add the percent sign: 75%.Use long division to divide the fraction's numerator by the fraction's denominator. Example. Calculate 3/4 by long division of 3 divided by 4: 0.75. 4, 3.Learn how to convert a decimal to a fraction by following these three easy steps: rewrite the decimal over one, multiply by 10 to the power of the number of digits after the decimal point, and simplify the …Decimal ↔ Fraction Conversion. To switch a calculation result between fraction and decimal format: Press . Example 1: 2.75 = 2 3 4 (Decimal → Fraction) 2 75. = 11 4 (d/c) Example 2: 1 2 ↔ 0.5 (Fraction ↔ Decimal) 1 2.Aug 3, 2023 · Rewrite the fraction with a denominator of 1. Multiply the numerator and denominator by 10n, where, n = no. of digits after the decimal point. Reduce the fraction. Convert 0.67 to fraction. Solution: 0.67. = 0.67/1. = 0.67 × 100 1 × 100 (The number of digits after the decimal point is 2, so ultiplying with 100) Conversion from decimal numbers to fractions If you need to convert a decimal number to fraction, the above decimal to fraction calculator is a great way to do it quickly and …The TI-84 Plus CE graphing calculator offers the ability to use fractions in calculations, but these options are hidden away in the calculator’s menus. Once you learn how to use these functions, you will be able to calculate using fractions, convert between fractions and decimals, and convert between improper and mixed numbers.Terminating decimals – A terminating decimal is one which can be expressed using a finite number of digits. In other words, if the decimal digits come to a definite stop, it’s a terminating decimal. For example — 3.8 \hspace{0.2em} 3.8 \hspace{0.2em} 3.8, 1.564 \hspace{0.2em} 1.564 \hspace{0.2em} 1.564 etc. Recurring decimals – A recurring …At some point, you’ll likely be faced with the prospect of working with numbers in both fraction and decimal format. Knowing how these numbers relate will help you convert between ...How to Convert Repeating Decimals to Fractions. When a fraction is represented as a decimal, it can take the form of a terminating decimal; for example: 3/5 = 0.6 and 1/8 = 0.125, or a repeating decimal; for example, 19/70 = 0.2 714285 and 1/6 = 0.1 6. The bar depicted above is presented above the repeating element of the numerical string. This is …How to convert decimals to fractions? To convert a decimal to a fraction, write the decimal as a fraction with the decimal number as the numerator and a power of 10 as the denominator, depending on the number of digits after the decimal point. Then, simplify the fraction by dividing both the numerator and denominator by their greatest common ... This video explains how to convert a decimal number to a fraction using the TI-89 Titanium. The syntax: exact(decimal number, tolerance).To convert a decimal to a fraction, you need to follow the 3 or 4 steps below: Step 1) Count the number of decimal places the decimal has. Step 2) Put a 1 and the number of zeros that there are decimal places for the denominator of the fraction. If you have 2 decimal places, the denominator would be 100.Advertisement Distillated and chemically processed fractions are treated to remove impurities, such as organic compounds containing sulfur, nitrogen, oxygen, water, dissolved metal...Convert the decimal into a fraction by putting the decimal over 1 in fraction format. 0.75 = .75 1. Multiply the numerator and denominator by 10 to eliminate decimal places. 0.75 × 10 1 × 10 = 7.5 10. 7.5 × 10 10 × 10 = 75 100. Reduce the fraction by finding the greatest common factor (GCF) of the numerator and denominator. To convert a fraction to a decimal, divide the numerator by the denominator. How to round a decimal? To round a decimal to the nearest tenth, if the digit in the hundredths place is less than 5, keep the original digit in the tenths place, and if the digit in the hundredths place is 5 or greater, increase the digit in the tenths place by 1. This math video tutorial explains how to convert decimals to fractions. It contains a few examples and practice problems showing you how to do it. Fraction...In this video, I go over how to convert decimals to fractions on the Ti-84 Plus CE Calculator.Join me on my learning journey - SUBSCRIBE at https://tinyurl.c...For more tutorials: https://www.InfinityCalcs.comThis video will show you how to convert a decimal into a fraction.Works with TI-84 CE, TI-84, TI-83, TI-89If you've got a PDF file you need converted to just plain text (or HTML), email it to Adobe and they'll send it back converted. If you've got a PDF file you need converted to just ...Example 1: Convert 1.888... to fraction. Solution: The given decimal number is a repeating decimal, and we have to convert repeating decimal to fraction form. To do that, we need to have two equations - one with the repeating digits on the right of the decimal point and the other with a decimal point to the right of the repeating digit(s).Decimal to fraction, step by step, example. For all free math videos visit http://Mathmeeting.com.This allows for an easy retrieval of the numerator and denominator and values can easily be formatted to create a fraction: #Steps: #1. Convert the data into fractions using fractions () from the MASS package. #2. Convert the matrix to character.The Classic Convertible Mercury Cars Channel lets you see under the hood of Mercury convertibles. Get specs on and see photos of classic convertible Mercury cars. Advertisement The...Step by step guide to Convert Repeating Decimals into Fractions. A decimal number with a digit (or group of digits) that repeats forever is a “repeating decimal.” The repeating digits are indicated by drawing a bar over them as in $\color{red}{0.5}$ or $\color{red}{0.312}$. To convert repeating decimals to fractions:Practice Problem Answers. 0.272727… = 27/99 (since 27 is the repeating part of the decimal and it contains 2 digits). We can reduce this fraction (a process that we’ll talk more about in a future article) by noticing that we can divide both the numerator and denominator by 9 to get 0.272727… = 27/99 = 3/11. 0.123123… = 123/999 (since ...This math video tutorial explains how to convert fractions to decimals.Fractions - Basic Introduction: https://www.youtube.com/...A fraction is one way of writing a division. The numerator is divided by the denominator. Fractions can be converted into decimals by processing this division. Convert 3⁄5 to a decimal. 3⁄5 ... Convert the following complex decimals to fractions. 0.112 3 0.11 2 3. Solution. The 2 3 2 3 appears to occur in the thousands position, but it is referring to 2 3 …If you've got a PDF file you need converted to just plain text (or HTML), email it to Adobe and they'll send it back converted. If you've got a PDF file you need converted to just ...To convert decimals to fractions in Google Sheets, follow these steps: Select the cell or cells that contain the decimal numbers that you want to convert to fractions; Click "More formats" on the top toolbar (The button for this option says "123") Click "Custom number format"How to Convert Decimal to Fraction. You can convert a decimal to a fraction by following these three easy steps. In this case, you will use the decimal 0.25 as an example (see the graphic below). Step …And so we're done. 7 divided by 8 or 7/8 is equal to 7 divided by 8, which is equal to 0.875. But I'll put a leading 0 here just so it makes it clear that this is where the decimal is. 0.875. And we are done. Up next: video. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history ... Step 1 - Identify the place value of the digits after the decimal, in the number. Step 2 - Use that to determine what the denominator of the fraction would be. Step 3- Remove the decimal point. Re-write in the …The steps to convert this decimal into a fraction are similar to those of the previous problem. Step 1 : Total numbers after the decimal = 2. Step 2 : Divide the decimal value by 1 = 3.62 / 1. Step 3 : Multiply the numerator and denominator by 100 (as there are 2 numbers after the decimal value there will be 2 zeroes in the multiplying value ...As a fraction, 1.25 can be written as 1 1 /4 or 5/4. The number 1 1/4 is called a mixed fraction and 5/4 is an improper fraction. Another way to find the answer is to use an online...Convert a terminating decimal to a fraction. A terminating decimal is one that does not repeat. Move the decimal point as many places to the right as you have decimals. This number is now the numerator of the fraction. The denominator is a 1 with as many zeros as you had decimals in the original number. Simplify the fraction at the …Step 1: Convert ²³⁄₂₅ into an equivalent fraction with a denominator of 100. Remember, multiply the numerator and the denominator by the same number. Remember, multiply the numerator and ...May 3, 2023 · Convert the decimal to a fraction. To do this, count how many numbers there are after the decimal point. With the number .325, in this case, there are three numbers after the decimal point. So, put the number "325" over the number 1000, which is really the number 1 with three 0's after it. Writing decimals as fractions. To convert a decimal to a fraction, we write the decimal number as a numerator and we write its place value as the denominator. If there is a number to the left of the decimal point, we keep that number as a whole number. Example 1: 0.07. 0.0 7 is 7 hundredths . So, we write 7 over 100 . 0.07 = 7 100. Example 1: 2.1.HERE'S HOW TO CONVERT REPEATING DECIMALS AS FRACTIONS. Let's use 0.92222... (with the 2 repeating) 1) Since 2, the number being repeated is in the hundredth place, we move the decimal 2 places to the right. (or to the hundredth place) Doing that, we get 92.222222 2) Now the number we get from step 1 is labelled 100𝑥. -> 100𝑥 = 92.22222To convert a decimal into a fraction, you put the numbers to the right of the decimal point in the numerator (above the fraction line). Next, you place the number 1 in the denominator, and then add as many zeroes as the numerator has digits. Reduce the fraction if needed. Decimals are nothing more than glorified fractions.Divide the numerator by the denominator. Multiply the result by 100. Add the percent sign (%). For example, if you want to convert 3/4 to a percentage, follow these steps: Take the fraction: 3/4. Divide the numerator by the denominator: 3 / 4 = 0.75. Multiply the result by 100: 0.75 x 100 = 75. Add the percent sign: 75%.This math video tutorial explains how to convert fractions to decimals.Fractions - Basic Introduction: https://www.youtube.com/...This is pretty straight forward where the DecimalToFraction (decimal value) is nothing more than a simplified entry point for the first method which provides access to all the components which compose a fraction. If you have a decimal of .325 then divide it by 10 to the power of number of decimal places.Mar 23, 2023 · The right way to convert percents, fractions, and decimals depends on what you're trying to convert them to. To convert a percent to a decimal, just move the decimal point 2 places to the left. To convert a fraction to a decimal, divide the numerator by the denominator. If you want to convert a decimal to a percent, multiply it by 100. Converting Decimals to Fractions. To convert a decimal to a fraction, you need to follow the 3 or 4 steps below: Step 1) Count the number of decimal places the decimal has. Step 2) Put a 1 and the number of zeros that there are decimal places for the denominator of the fraction. If you have 2 decimal places, the denominator would be 100. The Classic Convertible Mercury Cars Channel lets you see under the hood of Mercury convertibles. Get specs on and see photos of classic convertible Mercury cars. Advertisement The...Convert the decimal to a fraction. To do this, count how many numbers there are after the decimal point. With the number .325, …Follow these steps to manually convert any terminating decimal into a fraction: Step a: Write the decimal number in fraction format, with the number as the numerator and 1 in the denominator. Step b: Now, multiply the numerator and the denominator by 10 for every digit left of the decimal point.Lesson 4: Rewriting decimals as fractions. Write fractions as decimals (denominators of 10 & 100) Writing a number as a fraction and decimal. Write decimals and fractions shown on grids. Rewriting decimals as fractions: 0.15. Rewriting decimals as fractions: 0.8. Rewriting decimals as fractions: 0.36.Step 4: Simplify the fraction. When converting a recurring decimal to a fraction, we need to find its lowest form. In this case, both 6 and 9 are divisible by 3, so we complete our conversion by stating: 0.6 recurring = 2/3. The above is a basic example of how to convert a recurring decimal into a fraction. However, in most cases, step two is ...First, enter the decimal you want to convert into the calculator. Then, click the "Calculate" button. Voila! The calculator will give you the corresponding fraction. For example, let's say you want to convert 0.75 to a fraction. Enter 0.75 into the calculator and click "Calculate." The result will be 3/4.Then convert this decimal to fraction inches as you've learned from the previous section. You can convert any length unit to inches, but you don't have to remember all the formulas by heart - just use our inches to fraction calculator, and choose one of the most common length units. Fraction to inches conversion table. Take a look …First, we’ll use a Google Sheets function to convert fractions into decimal. Select an empty cell to place the result of our formula. Step 2. Next, we’ll type the TEXT function into the empty cell. The TEXT function requires two arguments: the number to format, and the desired format.The Google stock split is here at last. Interested investors have the chance to buy GOOGL stock at a nearly 10-year low of just $112. Alphabet is climbing after a monumental split ...Step 4: Simplify the fraction. When converting a recurring decimal to a fraction, we need to find its lowest form. In this case, both 6 and 9 are divisible by 3, so we complete our conversion by stating: 0.6 recurring = 2/3. The above is a basic example of how to convert a recurring decimal into a fraction. However, in most cases, step two is ...To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.Column B now displays each decimal in column A as a fraction. For example: 0.2 as a fraction is 1/5. 0.25 as a fraction is 1/4. 0.26 as a fraction is 13/50. 0.333 as a fraction is 1/3. And so on. Note that when you have a number greater than one, this formula will return an improper fraction (a fraction where the numerator is greater …

Converting a fraction into a decimal. Let's convert a fraction into a decimal. We'll be using a math skill you've already learned: long division. To refresh your memory on this skill, you can review our Long Division lesson. Click through the slideshow to learn how to convert a fraction into a decimal. Let's see how we can convert 1/4 into a .... Loki season 2 trailer

Welcome to our Decimal to Mixed Number Calculator. This calculator can convert any decimal number to a mixed number. In other words, it can convert a decimal number to a whole number (W) and a fraction with a numerator (N) and a denominator (D). Here is the illustration of what we are converting: Decimal ->> Mixed Number. Decimal ->> W N/D.Example: Convert 0.75 to a fraction. Step 1: Write down 0.75 divided by 1: 0.75 1. Step 2: …The decimal 2.25 is equal to the fraction 9/4. The decimal first needs to be converted to the basic fraction 2 1/4 before being converted to an improper fraction. The top of a frac...Writing fractions as decimals. To convert a fraction to a decimal, we divide the numerator by the denominator. If we have a mixed number, the whole number stays to the left of the decimal. Example 1: 2 5. 2 5 = 2 ÷ 5. 0. 4 5) 2 .0 ― 0000000 - 0 ― ↓ 0 2 0 - 2 0 ― 00 0. 2 5 = 0.4. Example 2: 3 7 8. 3 stays to the left of the decimal.Convert any decimals to fractions with these awesome math tricks!Easy basic decimals - 1:43Simple recurring Decimals (eg 0.7777 or 0.242424) - 3:33Harder... Follow these steps to manually convert any terminating decimal into a fraction: Step a: Write the decimal number in fraction format, with the number as the numerator and 1 in the denominator. Step b: Now, multiply the numerator and the denominator by 10 for every digit left of the decimal point. In this video I will show you how to use the decimals to fractions function on your TI-30X IIS calculator. This also works in reverse so you can convert frac...Jul 24, 2018 · Write the place value column of the last decimal digit as the denominator. A mixed number is a combination of a whole number and a fraction written alongside another. When the decimal number is larger than 1, it will convert into a mixed number. For example, here is the decimal number of 5.33. The first step is to write the digit before the ... For calculation, here's how to convert 0.1 as a Fraction using the formula above, step by step instructions are given below. Take only after the decimal point part for calculation. Then, divide that value by 1. Multiply both numerator and denominator by 10 (because there are 1 digits after the decimal point so that is 10 1 = 10).If you want to find out how to convert a decimal into a fraction, you're in the right place. Here's a step-by-step guide: Let's assume you want to convert 0.32 to a fraction: Treat your decimal as a numerator. Then, the denominator will be 1. Move the decimal dot to the right, till you only have a whole number: 0.32 → 3.2 → 32. Each move …To convert a decimal to a fraction take the decimal number removing the decimal separator and leading zeros and place it over 10 to the power of the number of digits to the right of a decimal separator. Yes, this sounds complicated, but with a couple of examples you’ll see that it’s not. Let’s try to turn .375 into a fraction: Place 0.375 ... First, enter the decimal you want to convert into the calculator. Then, click the "Calculate" button. Voila! The calculator will give you the corresponding fraction. For example, let's say you want to convert 0.75 to a fraction. Enter 0.75 into the calculator and click "Calculate." The result will be 3/4.Decimal to Fraction Calculator. Shows the steps to convert a decimal number to its equivalent fraction. Converting Decimals to Fractions Greatest Common Factor Proper Fraction Improper Fraction Mixed Fraction. For more tutorials: https://www.InfinityCalcs.comThis video will show you how to convert a decimal into a fraction.Works with TI-84 CE, TI-84, TI-83, TI-89Jan 3, 2020 ... In column C I multiply by 1000000000 to display the numerator without decimal places, and in column D I type 1000000000 as the denominator. This ...Learn how to convert a decimal to a fraction by following these three easy steps: rewrite the decimal over one, multiply by 10 to the power of the number of digits after the decimal point, and simplify the …To convert a decimal to a fraction take the decimal number removing the decimal separator and leading zeros and place it over 10 to the power of the number of digits to the right of a decimal separator. Yes, this sounds complicated, but with a couple of examples you’ll see that it’s not. Let’s try to turn .375 into a fraction: Place 0.375 ...First of all, rewrite the given decimal number. Divide it by 1: 2.625 will be changes into 2.625 / 1. Now we have to multiply both the numbers by 1000 as after decimal there are 3 digits. It will eliminate the decimal: 2.625 / 1 ×1000 / 1000 = 2625 / 1000. Now in the third step look for the GFC for both numbers. To convert a decimal to a fraction, start by making the decimal the numerator of a fraction over a denominator of 1. Then, continue multiplying both the numerator and denominator by 10 until the numerator is a whole number. You can optionally simplify the fraction at this point. Step Two: Rewrite the Fraction as a Ratio. The second step in ....

$This math video tutorial explains how to convert fractions to decimals.Fractions - Basic Introduction: https://www.youtube.com/...$

How to convert a decimal to a fraction - Apr 21, 2021 ... So you can take the decimal part and just multiply it by 64 and use Math.Round() to get the number of 64ths. Then if your numerator is even, ...

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