## How to Convert Percentage to Fractions and Fractions to Percentage?

Practice Unlimited Questions

#### Converting a percent value to a fraction and vice versa

Percentages and fractions are related to each other and can be converted from one form to the other.
The video tutorial above explains the steps in detail.

#### 1.  Following is a cookie box containing 100 assorted cookies of 4 different shapes. a)  Find out the fraction of cookies that are heart-shaped. b)  Find out the fraction of cookies that are round. c)  Find out the fraction of cookies that are square-shaped. d)  Find out the fraction of cookies that are star-shaped.

=  10% of the box
=  10 out of 100
 101 10010

 1 10
 1 10
Or,
1 out of every 10 cookies in the cookie box is heart-shaped.
=  25% of the box
=  25 out of 100
 251 1004

 1 4
 1 4
Or,
1 out of every 4 cookies in the cookie box is round.
=  30% of the box
=  30 out of 100
 303 10010

 3 10
 3 10
Or,
3 out of every 10 cookies in the cookie box are square-shaped.
=  35% of the box
=  35 out of 100
 357 10020

 7 20
 7 20
Or,
7 out of every 20 cookies in the cookie box are star-shaped.

#### 2.  Following is a cookie box containing 100 assorted cookies of 4 different shapes. a)  Find out the percentage of cookies that are heart-shaped. b)  Find out the percentage of cookies that are round. c)  Find out the percentage of cookies that are square-shaped. d)  Find out the percentage of cookies that are star-shaped.

 1 10
(using Method 1)
 1 10
×
 10 10
(change denominator to 100)
 10 100

=  10%
Or,
10% of the cookies are heart-shaped.
 1 4
(using Method 1)
 1 4
×
 25 25
(change denominator to 100)
 25 100

=  25%
Or,
25% of the cookies are round.
 3 10
of 1 whole box     (using Method 2)
 3 101
×  10010%     (1 whole = 100%)
=  30%
30% of the cookies are square-shaped.