Let’s solve each problem one by one. I’ll show my work step by step so you can follow along easily.
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Problem 1:
Robin needed 3 ²⁄₇ feet of thread. She has 2 times as much as she needs.
So, multiply:
2 × 3 ²⁄₇ = 2 × (23/7) = 46/7 =
6 ⁴⁄ feet
✔ Check: 3 ²⁄₇ is about 3.285, times 2 is about 6.57 → 6 ⁴⁄₇ ≈ 6.57 ✔️
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Problem 2:
One box weighs 3 ¹⁄₂ ounces. Teacher has 4 ¹⁄₂ boxes.
Multiply:
3 ¹⁄₂ × 4 ¹⁄₂ = (7/2) × (9/2) = 63/4 =
15 ³⁄₄ ounces
✔ Check: 3.5 × 4.5 = 15.75 → 15 ³⁄₄ = 15.75 ✔️
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Problem 3:
Chloe collected 4 times as many cans as her friend. Friend collected ⁷⁄₈ of a bag.
So: 4 × ⁷⁄₈ = 28/8 = 3 ⁴⁄₈ =
3 ½ bags
✔ Simplify 28÷8 = 3.5 → 3 ½ ✔️
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Problem 4:
Large shake = ⁵⁄₆ pint. Medium shake = ¹⁄₃ of large.
So: ¹⁄₃ × ⁄₆ = 5/18 →
⁵⁄₁₈ pint
✔ No simplification needed ✔️
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Problem 5:
Bottle has 4 ²⁄₅ oz soda. You drink ¹⁄₅ of it.
First, convert to improper fraction: 4 ²⁄₅ = 22/5
Then: ¹⁄₅ × 22/5 = 22/25 →
²²⁄₂₅ oz
✔ 22/25 is already simplified ✔️
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Problem 6:
Each gallon needs ¹⁄₄ cup syrup. There are 4 gallons.
So: 4 × ¹⁄₄ =
1 cup
✔ Easy! 4 quarters make 1 whole ✔️
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Problem 7:
Original length: 4 ⁵⁄₈ inches. Stretched to 2 ²⁄₇ inches? Wait — that doesn’t make sense. Stretching should make it LONGER, not shorter. Let me re-read.
Ah! Probably typo in reading — likely meant “stretched out TO 2 ²⁄₇ TIMES its current length” — but the problem says:
“he stretched it out to 2 ²⁄₇ times his current length how long would that be?”
Wait — original says:
> Adam had a lump of silly putty that was 4 ⁵⁄ inches long. If he stretched it out to 2 ²⁄₇ times his current length how long would that be?
So: Multiply 4 ⁵⁄ × 2 ²⁄₇
Convert:
4 ⁵⁄₈ = 37/8
2 ²⁄₇ = 16/7
Multiply: (37/8) × (16/7) = (37 × 16) / (8 × 7) = (37 × 2) / 7 = 74/7 =
10 ⁴⁄₇ inches
✔ Because 16/8 = 2, so 37×2=74, over 7 → 74÷7=10 R4 → 10 ⁴⁄₇ ✔️
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Problem 8:
Hair was 3 inches. Cut off ²⁄₉ of it.
So amount cut: ²⁄₉ × 3 = 6/9 = ²⁄₃ inch
✔ 2/3 inch cut off ✔️
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Problem 9:
Leftover pizza: ¹⁄₂. George gave ¹⁄₅ of THAT to Olivia.
So: ¹⁄₅ × ¹⁄₂ =
¹⁄₁₀ of the whole pizza
✔ Yes — 1/5 of half is 1/10 ✔️
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Problem 10:
Two rocks weigh 2 ¹⁄₂ lbs together. Rock A is ¹⁄₅ of total weight.
Total = 2 ¹⁄₂ = 5/2 lbs
Rock A = ¹⁄₅ × 5/2 = 5/10 =
¹⁄₂ lb
✔ Simple: 1/5 of 2.5 is 0.5 → 1/2 lb ✔️
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Problem 11:
Air freshener used 3 ¹⁄₇ mL per use. Wendy wants to make 3 air fresheners.
Assume each uses same amount → 3 × 3 ¹⁄₇
3 ¹⁄₇ = 22/7
3 × 22/7 = 66/7 =
9 ³⁄₇ mL
✔ 66 ÷ 7 = 9 R3 → 9 ³⁄₇ ✔️
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Problem 12:
One batch needs 3 ¹⁄₄ cups flour. Making 4 ¹⁄₃ batches.
Multiply: 3 ¹⁄₄ × 4 ¹⁄₃
Convert:
3 ¹⁄₄ = 13/4
4 ¹⁄₃ = 13/3
Multiply: (13/4) × (13/3) = 169/12 =
14 ¹⁄₁₂ cups
✔ 169 ÷ 12 = 14 R1 → 14 ¹⁄₁₂ ✔️
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Final Answer:
1. 6 ⁴⁄ feet
2. 15 ³⁄ ounces
3. 3 ½ bags
4. ⁵⁄₁₈ pint
5. ²²⁄₂₅ oz
6. 1 cup
7. 10 ⁴⁄ inches
8. ²⁄₃ inch
9. ¹⁄₁₀
10. ¹⁄₂ lb
11. 9 ³⁄₇ mL
12. 14 ¹⁄₁₂ cups
Parent Tip: Review the logic above to help your child master the concept of multiplying and dividing fractions word problems worksheet pdf.
