How to Change Fractions to Percentage

In order to change a fraction to a percentage, first divide the numerator by the denominator, then multiply by 100% (move the decimal two places to the right). For example, to convert 5/8 into a percentage, first divide 5 by 8, which is 0.625. Then multiply your answer by 100, or just move the decimal over two spaces, to get 62.5%.

Changing a Fraction to a Percentage

To change a fraction to a percentage, first divide the numerator by the denominator, (i.e. convert it to a decimal) and then multiply by 100 percent or move the decimal 2 places to the right. Let’s look at a few examples. To convert 5/8 from a fraction to a percentage, we’re going to start by dividing the numerator, 5, by the denominator, 8. 5 divided by 8 is 625 thousandths.

We’ve converted it now from a fraction to a decimal. Then, to convert this decimal into a percentage, we need to take it and multiply it times 100, to get 62 and 5 tenths percent. Again, multiply by 100 or simply move the decimal place 2 places to the right to get your percent, 62 and 5 tenths percent.

Let’s look at another example, 1/3. Again, we’ll start by converting this fraction to a decimal by dividing, 1 divided by 3, which gives us 3 tenths, repeating (so that goes on). Then to convert this decimal into a percent, we’re going to multiply by 100 percent or simply move the decimal 2 places to the right.

We get 33 and 3 tenths (repeating) percent, or just 33 and 3 tenths, depending on how you round. Last one, 3/4. Start by dividing 3 by 4, which gives you 75 hundredths. Then to convert this decimal to a percent, we’re going to multiply by 100 percent or move the decimal 2 places to the right, to get 75 percent.

Changing a fraction to a percentage is really a 2-step problem. Step 1 change your fraction to a decimal. Step 2 change your decimal to your percent.

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by Mometrix Test Preparation | Last Updated: August 15, 2019