Percentage and Fractions

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.

Heart-shaped cookies
=  10% of the box
=  10 out of 100
101
10010

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

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

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

7
20
7
20
of the cookies are star-shaped.
  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.

Heart-shaped cookies
1
10
    (using Method 1)
1
10
 × 
10
10
(change denominator to 100)
10
100

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

=  25%
25 out of 100 cookies in the cookie box are round.
  Or,
25% of the cookies are round.
Square-shaped cookies
3
10
of 1 whole box     (using Method 2)
3
101
 ×  10010%     (1 whole = 100%)
=  30%
30% of the cookies are square-shaped.
Star-shaped cookies
7
20
of 1 whole box     (using Method 3)
=  7  ÷  20 of 1 whole box
=  0.35 of 1 whole box
=  0.35  ×  100%     (1 whole = 100%)
=  35%
35% of the cookies are star-shaped.