We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.
© 2016 Shmoop University, Inc. All rights reserved.
GO TO SAT PREP GO TO ACT PREP
Ratios & Percentages

Ratios & Percentages

At a Glance - Converting Fractions to Percents

2/5 graph representation

Two fifths is equivalent to forty hundredths, and because all percents are out of a hundred, this can be written as 40%.

Just as with converting fractions to decimals, this technique doesn't always work. The good news is that there are no new steps to learn. Convert the fraction to a decimal, then the decimal to a percent.

Step 1: turn the fraction into a decimal: divide the denominator into the numerator.

Step 2: turn the decimal into a percent: multiply the decimal by 100.

Converting Fractions to Percents Example 1

1/40 = 2.5%


Converting Fractions to Percents Example 2

5/6 = 0.833...


Converting Fractions to Percents Example 3

7/10 = 70%


Converting Fractions to Percents Example 4

3 1/4 =325%


Converting Fractions to Percents Exercise 1

Write 3/5 as a percent.


Converting Fractions to Percents Exercise 2

Write 37/40 as a percent.


Converting Fractions to Percents Exercise 3

Write 1/12 as a percent.


Converting Fractions to Percents Exercise 4

Write 5 24/25 as a percent.


People who Shmooped this also Shmooped...

Advertisement