Let’s solve each problem step by step. Remember: dividing by a fraction is the same as multiplying by its reciprocal (flip the fraction). Dividing by a whole number is like multiplying by 1 over that number.
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a) 6 ÷ 1/4
→ Flip 1/4 to get 4/1 → multiply:
6 × 4 =
24
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b) 1/5 ÷ 8
→ 8 is the same as 8/1 → flip it to 1/8 → multiply:
(1/5) × (1/8) =
1/40
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c) 7 ÷ 2/3
→ Flip 2/3 to get 3/2 → multiply:
7 × 3/2 = 21/2 =
10½ or 10.5
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d) 5 ÷ 2/5
→ Flip 2/5 to get 5/2 → multiply:
5 × 5/2 = 25/2 =
12½ or 12.5
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e) 3/4 ÷ 15
→ 15 is 15/1 → flip to 1/15 → multiply:
(3/4) × (1/15) = 3/(4×15) = 3/60 =
1/20
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f) 6/7 ÷ 12
→ 12 is 12/1 → flip to 1/12 → multiply:
(6/7) × (1/12) = 6/(7×12) = 6/84 =
1/14
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g) 5/6 ÷ 5
→ 5 is 5/1 → flip to 1/5 → multiply:
(5/6) × (1/5) = 5/(6×5) = 5/30 =
1/6
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h) 4 ÷ 2/5
→ Flip 2/5 to get 5/2 → multiply:
4 × 5/2 = 20/2 =
10
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i) 2/7 ÷ 7
→ 7 is 7/1 → flip to 1/7 → multiply:
(2/7) × (1/7) = 2/(7×7) =
2/49
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j) 10 ÷ 3/4
→ Flip 3/4 to get 4/3 → multiply:
10 × 4/3 = 40/3 =
13⅓ or 13.333...
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Final Answer:
a) 24
b) 1/40
c) 21/2 or 10½
d) 25/2 or 12½
e) 1/20
f) 1/14
g) 1/6
h) 10
i) 2/49
j) 40/3 or 13⅓
Parent Tip: Review the logic above to help your child master the concept of dividing fractions by whole numbers worksheet.
