Let’s solve each problem one by one. These are complex fractions — that means a fraction on top of another fraction. To simplify them, we multiply the top fraction by the reciprocal (flip) of the bottom fraction.
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Problem 1:
We have:
4
———
1/5
This is the same as:
4 ÷ (1/5) = 4 × (5/1) = 20
✔ So the answer is
D) 20
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Problem 2:
We have:
3/4
———
6/7
That’s:
(3/4) ÷ (6/7) = (3/4) × (7/6) = (3×7)/(4×6) = 21/24
Simplify 21/24 → divide numerator and denominator by 3 → 7/8
✔ So the answer is
A) 7/8
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Problem 3:
We have:
2
———
5/6
That’s:
2 ÷ (5/6) = 2 × (6/5) = 12/5
✔ So the answer is
C) 12/5
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Problem 4:
We have:
7/9
———
7
That’s:
(7/9) ÷ 7 = (7/9) × (1/7) = (7×1)/(9×7) = 7/63 = 1/9
✔ So the answer is
B) 1/9
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Problem 5:
We have:
8/11
———
4
That’s:
(8/11) ÷ 4 = (8/11) × (1/4) = (8×1)/(11×4) = 8/44 = 2/11
✔ So the answer is
A) 2/11
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Final Answer:
1. D
2. A
3. C
4. B
5. A
Parent Tip: Review the logic above to help your child master the concept of complex fractions worksheet 7th grade.
