Sure! Let’s go through each of the 7 word problems one by one, solving them step-by-step using division of fractions.
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Problem 1:
> First, wants to make three pillows for her couch. She has 6 yards of fabric. Each pillow uses ½ a yard of fabric. How many pillows can she make?
Solution:
We need to divide total fabric by fabric per pillow:
> 6 ÷ ½
Dividing by a fraction is the same as multiplying by its reciprocal:
> 6 × 2/1 = 12
✔ Answer: 12 pillows
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Problem 2:
> Dwayne is making individual desserts for a dinner party. He has ¾ of a cup of whipped cream, and he wants to put ⅛ of a cup of whipped cream on each dessert. How many desserts can he make?
Solution:
Divide total whipped cream by amount per dessert:
> ¾ ÷ ⅛
Multiply by reciprocal:
> ¾ × 8/1 = (3×8)/(4×1) = 24/4 = 6
✔ Answer: 6 desserts
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Problem 3:
> Daniel is using apple juice to make juice pops. He has 3 cups of juice, and each juice pop uses ¼ of a cup of juice. How many juice pops can he make?
Solution:
> 3 ÷ ¼ = 3 × 4/1 = 12
✔ Answer: 12 juice pops
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Problem 4:
> Katie feeds her cat, Elmer, ⅔ of a cup of food each day. She buys a bag of cat food that contains 18 cups of dry food. How many days will that bag of cat food last?
Solution:
Total food ÷ daily consumption:
> 18 ÷ ⅔ = 18 × 3/2 = (18×3)/2 = 54/2 = 27
✔ Answer: 27 days
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Problem 5:
> Lucas is making a wire sculpture for art class. For the sculpture, he needs to cut wire into pieces that are each ⅙ of a foot long. If the original wire is ¾ of a foot long, how many pieces can Lucas have?
Solution:
> ¾ ÷ ⅙ = ¾ × 6/1 = (3×6)/(4×1) = 18/4 = 9/2 = 4.5
But since you can’t have half a piece when cutting wire for a sculpture (assuming whole pieces only), we take the
whole number part.
✔ Answer: 4 pieces (since 0.5 piece isn’t usable)
*Note: Some teachers may accept 4.5 if fractional pieces are allowed, but in real-world context like “how many pieces can he have,” it’s usually whole pieces.*
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Problem 6:
> Nina works at Smooth Sweets. She uses ⅜ of a cup of crushed ice in each smoothie. When Nina starts her shift, she has 4 cups of crushed ice in the machine. How many smoothies can she make with that ice?
Solution:
> 4 ÷ ⅜ = 4 × 8/3 = 32/3 ≈ 10.666...
Again, you can’t make a fraction of a smoothie — so we take the whole number.
✔ Answer: 10 smoothies
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Problem 7:
> Dylan bought a 1-pound bag of sunflower seeds. If one serving of sunflower seeds is ⅛ of a pound, how many servings are in the bag?
Solution:
> 1 ÷ ⅛ = 1 × 8/1 = 8
✔ Answer: 8 servings
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✔ Final Answers:
1.
12 pillows
2.
6 desserts
3.
12 juice pops
4.
27 days
5.
4 pieces *(or 4.5 if partial pieces allowed)*
6.
10 smoothies
7.
8 servings
Let me know if you’d like these explained with visual models or diagrams too!
Parent Tip: Review the logic above to help your child master the concept of multiplying and dividing fractions word problems worksheet pdf.
