Year 8 Simplifying Fractions Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 8 fractions worksheet.
Year 8 Simplifying Fractions Worksheet — Level 3 — Practice Set 3 — Answers
Divide the numerator and denominator by their highest common factor.
1.Simplify
Answer:
- HCF of 5 and 20 is 5
- 5 ÷ 5 = 1 and 20 ÷ 5 = 4
2.Simplify
Answer:
- HCF of 77 and 88 is 11
- 77 ÷ 11 = 7 and 88 ÷ 11 = 8
3.Simplify
Answer:
- HCF of 2 and 14 is 2
- 2 ÷ 2 = 1 and 14 ÷ 2 = 7
4.Simplify
Answer:
- HCF of 9 and 36 is 9
- 9 ÷ 9 = 1 and 36 ÷ 9 = 4
5.Simplify
Answer:
- HCF of 22 and 77 is 11
- 22 ÷ 11 = 2 and 77 ÷ 11 = 7
6.Simplify
Answer:
- HCF of 6 and 18 is 6
- 6 ÷ 6 = 1 and 18 ÷ 6 = 3
7.Simplify
Answer:
- HCF of 27 and 63 is 9
- 27 ÷ 9 = 3 and 63 ÷ 9 = 7
8.Simplify
Answer:
- HCF of 7 and 91 is 7
- 7 ÷ 7 = 1 and 91 ÷ 7 = 13
9.Simplify
Answer:
- HCF of 81 and 90 is 9
- 81 ÷ 9 = 9 and 90 ÷ 9 = 10
10.Simplify
Answer:
- HCF of 3 and 6 is 3
- 3 ÷ 3 = 1 and 6 ÷ 3 = 2
11.Simplify
Answer:
- HCF of 35 and 42 is 7
- 35 ÷ 7 = 5 and 42 ÷ 7 = 6
12.Simplify
Answer:
- HCF of 22 and 33 is 11
- 22 ÷ 11 = 2 and 33 ÷ 11 = 3
13.Simplify
Answer:
- HCF of 84 and 120 is 12
- 84 ÷ 12 = 7 and 120 ÷ 12 = 10
14.Simplify
Answer:
- HCF of 156 and 180 is 12
- 156 ÷ 12 = 13 and 180 ÷ 12 = 15
15.Simplify
Answer:
- HCF of 4 and 20 is 4
- 4 ÷ 4 = 1 and 20 ÷ 4 = 5
16.Simplify
Answer:
- HCF of 4 and 8 is 4
- 4 ÷ 4 = 1 and 8 ÷ 4 = 2
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.