Let's solve each of these problems step by step, focusing on
division with unit fractions.
---
1. 5 ÷ ¼ = ?
We are dividing 5 whole units by ¼. This means:
How many ¼ pieces are in 5 wholes?
- Each whole has 4 quarters (since 1 ÷ ¼ = 4).
- So, 5 wholes have:
$ 5 \times 4 = 20 $ quarters.
✔ Answer: D) 20
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2. There are 10 cakes on the dinner table. Each cake is cut into pieces. Each piece is 1/5 of a cake. How many pieces of cake are on the dinner table?
Each cake is divided into 5 pieces (because 1 ÷ 1/5 = 5).
So for 10 cakes:
$ 10 \times 5 = 50 $ pieces
✔ Answer: C) 50
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3. ⅙ ÷ 7 = ?
Dividing a fraction by a whole number:
$$
\frac{1}{6} \div 7 = \frac{1}{6} \times \frac{1}{7} = \frac{1}{42}
$$
✔ Answer: A) 1/42
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4. 8 ÷ ¼ = ?
Think: How many ¼s are in 8?
Each whole has 4 quarters → $ 8 \times 4 = 32 $
Or mathematically:
$$
8 \div \frac{1}{4} = 8 \times 4 = 32
$$
✔ Answer: D) 32
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5. Mrs. Long had ⅕ of an acre of land divided into 3 equal parts. What is the size of each part?
We divide $ \frac{1}{5} $ by 3:
$$
\frac{1}{5} \div 3 = \frac{1}{5} \times \frac{1}{3} = \frac{1}{15}
$$
✔ Answer: B) 1/15
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✔ Final Answers:
1.
D) 20
2.
C) 50
3.
A) 1/42
4.
D) 32
5.
B) 1/15
Let me know if you'd like explanations using visual models or diagrams!
Parent Tip: Review the logic above to help your child master the concept of dividing fractions 5th grade worksheet.
