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7th Grade Ratio Worksheet — Level 2 — Practice Set 2 — Answers

Answer sheet with worked solutions for the 7th Grade ratios & rates worksheet.

Success TutoringWorksheetsAnswer sheet7th Grade · Mathematics · Ratio & Rates

7th Grade Ratio Worksheet — Level 2 — Practice Set 2 — Answers

Part A: Simplify

1.Simplify the ratio 108 : 96

Answer: 9 : 8

  1. HCF of 108 and 96 is 12
  2. Divide both parts by 12
2.Simplify the ratio 49 : 7

Answer: 7 : 1

  1. HCF of 49 and 7 is 7
  2. Divide both parts by 7
3.Simplify the ratio 20 : 60

Answer: 1 : 3

  1. HCF of 20 and 60 is 20
  2. Divide both parts by 20
4.Simplify the ratio 4 : 32

Answer: 1 : 8

  1. HCF of 4 and 32 is 4
  2. Divide both parts by 4
5.Simplify the ratio 60 : 24

Answer: 5 : 2

  1. HCF of 60 and 24 is 12
  2. Divide both parts by 12
6.Simplify the ratio 108 : 108

Answer: 1 : 1

  1. HCF of 108 and 108 is 108
  2. Divide both parts by 108

Part B: Divide in a ratio

7.Divide $48 in the ratio 2 : 4.

Answer: $16 and $32

  1. Total parts: 2 + 4 = 6
  2. One part: 48 ÷ 6 = 8
  3. 2 × 8 = 16 and 4 × 8 = 32
8.Divide $55 in the ratio 1 : 4.

Answer: $11 and $44

  1. Total parts: 1 + 4 = 5
  2. One part: 55 ÷ 5 = 11
  3. 1 × 11 = 11 and 4 × 11 = 44
9.Divide $80 in the ratio 4 : 4.

Answer: $40 and $40

  1. Total parts: 4 + 4 = 8
  2. One part: 80 ÷ 8 = 10
  3. 4 × 10 = 40 and 4 × 10 = 40
10.Divide $18 in the ratio 5 : 1.

Answer: $15 and $3

  1. Total parts: 5 + 1 = 6
  2. One part: 18 ÷ 6 = 3
  3. 5 × 3 = 15 and 1 × 3 = 3
11.Divide $16 in the ratio 1 : 3.

Answer: $4 and $12

  1. Total parts: 1 + 3 = 4
  2. One part: 16 ÷ 4 = 4
  3. 1 × 4 = 4 and 3 × 4 = 12
12.Divide $77 in the ratio 4 : 3.

Answer: $44 and $33

  1. Total parts: 4 + 3 = 7
  2. One part: 77 ÷ 7 = 11
  3. 4 × 11 = 44 and 3 × 11 = 33
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