Fractions
Decimals
Percentages
Converting Between Fractions, Decimals and Percentages
Real World Worded Problems
100

Express 58/7 as a mixed number

8 and 2/7

100

Write the following infinite recurring decimal using one of the short forms: 133.9462462...

133.94*6*2*

100

Find 66% of 20

13.2

100

Write the fraction 5/8 as a percentage

62.5%

100

Jimbo saved the following amounts of pocket money to take away on holidays: $12.50, $15, $9.30, $5.70, $6.20, $11.80. How much money did Jimbo have to spend on holidays?

$60.50

200

Find 9/18 + 1/6, and express your answer in simplest form

2/3

200

Calculate 1.25 + 3.146 + 7.0, showing all working

11.396

200

Write 45c as a percentage of $2.00

22.5%

200

Write 15 and 1/3 % as a fraction in simplest form

= 46/3 % = 46/3x100 = 46/300

= 23/150

200

Laei is making sushi. The recipe requires 1/4 cup of rice. She has a 2kg bag of rice. If 1 cup of rice weighs 250g, how many batches of the recipe can she make?

32

300

Find 5/6 - 1/12, expressing your answer in simplest form

3/4

300

Rewrite in columns, then subtract, showing all working, 2.641 - 0.85

1.791

300

Find 15% of $42

$6.30

300

Write 5.1% as a decimal

0.051

300

Manny bought 34.5 litres of petrol at 92.9 cents per litre. How much did he pay for his petrol in dollars?

$32.05

400

Find 7/8 of 32

28

400

Calculate 11.64 X 4.8, showing all working

55.872

400

Write 105 minutes as a percentage of 2.5 hours

70%

400

Write 0.6021 as a fraction, simplifying if possible

6021/10000

400
In a family, 3 children receive their allowances in the ratio of their ages, which are 15 years, 12 years and 9 years. If the total of the allowances is $30, how much does each child receive?

$12.50, $10, $7.50

500

Find 8/15 divided by 16/15

1/2

500

Calculate 17.847 divided by 9, showing all working

1.983

500

Only 2.3% of students living in Alice Springs have a pool in their backyard. If there are 516 students in Alice Springs, how many students would you expect to have a pool?

11.868 = approximately 12 students (you can't have a decimal amount of people!)

500
Write the fraction 1/8 as a finite decimal

= 8 divided by 1.0000

=0.125

500

Dexter earns $600 per week. He spends $60 on petrol, $160 on rent, and $70 on food. What percentage of his total wage does Dexter have left? (answer to the nearest percent)

52%