9.2 Changing a fraction to a percentage
There are two ways you can do this.
Method 1
To change a fraction into a percentage, multiply it by (essentially, you are just multiplying the top number by 100 and the bottom number will stay the same).
Example: Change into a percentage
× =
This cancels to = 75%
Note: Remember anything over 1 is a whole number. If you do not end up with a 1 on the bottom, you will have to divide the top number by the bottom one to get your final answer.
Method 2
Divide the top of the fraction by the bottom (to express the fraction as a decimal) and then multiply the answer by 100.
Activity 22: Changing a fraction to a percentage
Express these fractions as percentages:
a.
b.
c.
Answer
a.37.5%
b.90%
c.80%
Now you’ll look at changing a fraction to a decimal.