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Fractions Decimals Percentages Ratios

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Fractions Decimals Percentages Ratios

Show your working where needed. Give fraction answers in simplest form and include units in word problems.

Fractions and conversions

1.Complete the equivalent fraction: 5/6 = __/18.
2.Find the missing denominator: 7/9 = 21/__.
3.Simplify 21/35.
4.Simplify 28/42.
5.Write 19/6 as a mixed number.
6.Write 4 3/8 as an improper fraction.
7.Convert 7/20 to a decimal and a percentage.
8.Convert 0.625 to a simplified fraction and a percentage.
9.Convert 45% to a simplified fraction and a decimal.

Calculations and applications

10.Calculate 5/8 + 1/4. Give your answer in simplest form.
11.Calculate 7/10 − 1/5. Give your answer in simplest form.
12.Calculate 2/3 × 3/7. Give your answer in simplest form.
13.Calculate 3/4 ÷ 1/8.
14.Arrange these values from smallest to largest: 0.72, 3/4, 70%, 5/8, 0.7.
0.60.650.70.750.8
15.Find 35% of $120.
16.A netball team has 24 players. Three-eighths of them are defenders. How many defenders are there?
17.A jacket costs $80 and is discounted by 15%. What is the sale price?
18.Mei spends 2/5 of her $60 savings on a book and 25% of the original amount on a game. How much does she have left?

Ratios

19.Simplify the ratio 18:30.
20.Simplify the ratio 24:36:12.
21.Match each ratio to an equivalent ratio.
  • 2:7
  • 3:4
  • 5:6
  • 4:9
  • 16:36
  • 12:42
  • 20:24
  • 15:20
22.A school group has 35 students. The ratio of adults to students is 2:7. How many adults are with the group?
23.A fruit drink uses concentrate and water in the ratio 1:4. If 750 mL of concentrate is used, how much water is needed, and how much drink is made altogether?

4 printable pages

  • Fractions Decimals Percentages Ratios, page 1 of 4: Fractions and conversions, Ratios

    Page 1

  • Fractions Decimals Percentages Ratios, page 2 of 4: Calculations and applications

    Page 2

  • Fractions Decimals Percentages Ratios, page 3 of 4: Ratios

    Page 3

  • Fractions Decimals Percentages Ratios, page 4 of 4: 21. Match each ratio to an equivalent ratio.

    Page 4

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