Fractions to % and % to Fractions
Fractions-> Equivalent fractions -> %
Percentage of quantities
100

Write this percentage (35 %) as a fraction 

35/100

100

2/5 = /100 = ? %

40/100 = 40%

100

10% of 30

3

200

Write 25 % as fraction in its simplest form. 

25/100 = 1/4

200

23/ 25  / 100 = ? % 

92/100 = 92%

200

25% of 84

21

300

Write 20% as fraction in its simplest form. 

20/100 = 1/5

300

Lachlan's class went on school camp. He asked everyone which activity they liked best and made this chart below. 

Kayaking - 7/25 

Orienteering - 1/5

Rockclimbing - 9/25

Bush walk - 4/25

A. Give the percentage of students liked each activity. 

B. Does the percentage add up to 100%? Is this what you would expect? Explain. 

A. Kayaking - 28 %

Orienteering - 20 %

Rock climbing - 36 %

Bush walk - 16 % 

B. Yes 

300

75% of 16

12

400

Write 45% as fraction in its simplest form. 

45/100 = 9/20

400

Write the fractions in these sentences as percentages. 

a. About 1 in 4 baby cheetahs survive to adulthood in the wild. 

b. China expects 9 out of 10 of its pandas in a breeding programme to survive. 

c. About 1 in 5 mammals are in danger of becoming extinct. 

a. 25%

b. 90%

c. 20%

400

45% of 160

72

500

Write 62% as fraction in its simplest form. 

62/100 = 31/50

500

Write these fractions in sentence as percentages.

a. About 7/25 of all reptiles are in danger of extinction

b. Only about 7/50 of all the plants, animals and birds have been discovered 

c. About 17/20 of all foods originated in rainforests

d. Rainforests used to cover 7/50 of the earth's crust. Now they only cover 1/20. 

e. Less than 1/100 of rainforest plants have been tested for medicinal purposes. 

a. 28%

b. 14%

c. 85% 

d. 14%, now 5%

e. 1%


500

5% of 240

31% of 200

95% of 240

12

62

228