Let's solve each of these fraction word problems step by step.
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1. Rachel was packing up some of her old stuff into a box. A box can hold eight pounds, but she only filled it up 2/4 full. How much weight was in the box?
Given:
- Box capacity = 8 pounds
- Filled = 2/4 = 1/2 (simplified)
So, weight in the box =
$$
\frac{1}{2} \times 8 = 4 \text{ pounds}
$$
✔ Answer: A) 4 pounds
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2. Billy stacked six pieces of wood on top of one another. If each piece was 3/4 of a foot tall, how tall was his pile?
Each piece = 3/4 foot
6 pieces =
$$
6 \times \frac{3}{4} = \frac{18}{4} = 4 \frac{2}{4} = 4 \frac{1}{2} \text{ feet}
$$
✔ Answer: B) 4 1/2 feet
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3. On Monday it snowed 9 inches. The next day, it snowed 1/2 of that amount. How much did it snow on the second day?
Half of 9 inches =
$$
\frac{1}{2} \times 9 = 4 \frac{1}{2} \text{ inches}
$$
✔ Answer: A) 4 1/2 inches
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4. Each day a company used 7/10 of a box of paper. How many boxes would they have used after three days?
Daily usage = 7/10
After 3 days =
$$
3 \times \frac{7}{10} = \frac{21}{10} = 2 \frac{1}{10} \text{ boxes}
$$
✔ Answer: C) 2 1/10 of a box
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5. A store had 4 boxes of video games. How many days would it take to sell the games if each day they sold 1/5 of a box?
Total = 4 boxes
Daily sale = 1/5 box
Number of days =
$$
\frac{4}{\frac{1}{5}} = 4 \times 5 = 20 \text{ days}
$$
✔ Answer: B) 20 days
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6. A glass of water was 1/8 of a liter. How many glasses would it take to fill up a 3-liter jug?
Each glass = 1/8 liter
Total needed = 3 liters
Number of glasses =
$$
\frac{3}{\frac{1}{8}} = 3 \times 8 = 24 \text{ glasses}
$$
✔ Answer: B) 24 glasses
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✔ Final Answers:
1.
A
2.
B
3.
A
4.
C
5.
B
6.
B
Let me know if you'd like explanations for the remaining questions too!
Parent Tip: Review the logic above to help your child master the concept of 5th grade math fraction word problems worksheet.
