Q&A for How to Convert Fractions to Decimals

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How can I convert a fraction to a percent?

wikiHow Staff Editor
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wikiHow Staff Editor

Staff Answer

To convert a fraction into a percent, first convert it into a decimal. For example, ½ = .5. Next, multiply the result by 100 to get a percent. Simply move the decimal point to the right 2 places. For example, .5 x 100 = 50%.

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How do you turn a mixed number into a decimal?

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This answer was written by one of our trained team of researchers who validated it for accuracy and comprehensiveness.

wikiHow Staff Editor

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First, convert the mixed number into an improper fraction. Multiply the whole number by the denominator, then add the result to the numerator to get the new numerator (e.g., 2 2/3 = 8/3). Divide the numerator by the denominator to get the decimal.

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Can you explain things in simpler terms?

Community Answer

To convert a fraction into a decimal, divide the top number by the bottom number.

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What about with denominators that don't divide into 10, 100 or 1000, such as 7?

Donagan

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You still divide the denominator into the numerator, no matter what the numbers are. It's likely you would wind up with a quotient consisting of a decimal number.

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Question

What is the point of this?

Donagan

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There are many situations in which operating with a decimal number is easier than operating with a fraction.

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Can you explain ratios and unit rates?

Donagan

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A ratio is a comparison between two numbers. The ratio 1:2 compares 1 to 2. It is equivalent to the fraction ½. In this case the first number is half the second number (or the second number is twice the first number). A "rate" is a ratio that compares quantities expressed in different units (such as miles and hours). A "unit rate" is a rate in which the second number in the ratio is 1 (such as ten miles per (one) hour).

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How do I turn a fraction into a mixed number?

Community Answer

You can turn an improper fraction into a mixed number if the denominator does not divide evenly into the numerator. In this case, the quotient becomes the integer of the mixed number, and the remainder is the numerator of the mixed number. The original denominator remains unchanged. If the denominator divides evenly into the numerator so that there's no remainder, you're left only with a whole number (and thus no mixed number).

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What happens if I can’t use a calculator, but the number doesn’t go into 100 equally, e.g. 7?

Donagan

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You would have to do the division manually, carried out to as many decimal places as needed.

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Question

How can I convert 0.625 to a fraction?

Donagan

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0.625 = 625/1000. That reduces to 25/40 and finally to 5/8.

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How do I turn 2.072 into a fraction?

Donagan

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That's the same as the mixed number 2 72/1,000, which reduces to 2 9/125.

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Is there any easy way to convert fractions into decimals without a calculator?

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Without a calculator, all you can do is manually divide denominator into numerator.

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How do I do this more quickly?

Donagan

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You practice it over and over.

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Mr. Mori gives a math test with 21 questions on it. You answered 2/3 of them correctly. How many did you answer incorrectly?

Donagan

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You answered 1/3 of the questions incorrectly. 21 ÷ 3 = 7, so 1/3 of 21 is 7.

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Question

What decimal is the fraction 2/2 equivalent to?

Community Answer

2/2 simplifies to 1/1, which is a whole number, 1.

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How do I express 4/6 as a decimal using long division?

Community Answer

Refer to Do Long Division .

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Question

What is 2/5 as a decimal?

Community Answer

2/5 = 2 ÷ 5 = 0.4.

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What is 1 2/5 in decimal?

Community Answer

1 2/5 = 1 4/10 = 1.4.

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How do I convert 11/16 into a decimal?

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Divide 11 by 16 to get your answer because you divide the numerator by a denominator. You will arrive at approximately 0.6875, your answer.

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How do you express 5 7/10 as a decimal?

Community Answer

5.7.

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