Let's solve each of these decimal division word problems step by step.
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1) Jessie went to the candy shop and bought 22.8 pounds of candies. She divided the candies equally and packed them in boxes. If each box of candies weighed 3.8 pounds, how many boxes did Jessie use to pack the candies?
Solution:
We need to divide the total weight of candies by the weight per box:
$$
\frac{22.8}{3.8}
$$
To make division easier, we can eliminate decimals by multiplying numerator and denominator by 10:
$$
\frac{22.8 \times 10}{3.8 \times 10} = \frac{228}{38}
$$
Now divide:
$$
228 ÷ 38 = 6
$$
✔ Answer: 6 boxes
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2) Linda walked 6.3 miles in 1.5 hours. What was the distance covered by her in one hour?
This is asking for her
average speed (distance per hour).
$$
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{6.3}{1.5}
$$
Again, eliminate decimals by multiplying numerator and denominator by 10:
$$
\frac{6.3 \times 10}{1.5 \times 10} = \frac{63}{15}
$$
Now divide:
$$
63 ÷ 15 = 4.2
$$
✔ Answer: 4.2 miles per hour
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3) Robyn, a programmer, had a few important files saved on her computer. The space occupied by the files was 84.6 megabytes in all. If each file used a memory of 21.15 megabytes, how many files were there?
We divide total space by space per file:
$$
\frac{84.6}{21.15}
$$
Multiply numerator and denominator by 100 to eliminate decimals:
$$
\frac{84.6 \times 100}{21.15 \times 100} = \frac{8460}{2115}
$$
Now simplify:
Divide both numerator and denominator by 15:
- $8460 ÷ 15 = 564$
- $2115 ÷ 15 = 141$
So:
$$
\frac{564}{141} = 4
$$
✔ Answer: 4 files
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4) At Squeeze Bar, Jim prepares 19.8 gallons of fresh orange juice. The juice is poured into small containers carrying 6.6 gallons each. What is the number of small containers used to hold the orange juice?
Divide total juice by capacity per container:
$$
\frac{19.8}{6.6}
$$
Multiply numerator and denominator by 10:
$$
\frac{198}{66}
$$
Simplify:
$$
198 ÷ 66 = 3
$$
✔ Answer: 3 containers
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5) Sam wraps his return gifts and keeps them in a bag weighing 3.3 pounds. The weight of each gift is 1.65 pounds. How many gifts are in the bag?
Divide total weight by weight per gift:
$$
\frac{3.3}{1.65}
$$
Multiply numerator and denominator by 100:
$$
\frac{330}{165}
$$
Now divide:
$$
330 ÷ 165 = 2
$$
✔ Answer: 2 gifts
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✔ Final Answers:
1)
6 boxes
2)
4.2 miles per hour
3)
4 files
4)
3 containers
5)
2 gifts
Let me know if you'd like these explained with visual models or steps!
Parent Tip: Review the logic above to help your child master the concept of decimals word problems worksheet.