Fraction Word Problems worksheet with 12 real-life math scenarios involving fractions, designed for educational practice.
Fraction Word Problems worksheet with 12 math problems involving fractions, including real-life scenarios like measuring thread, weighing boxes, and calculating ingredients. The worksheet includes a section for answers and is labeled "Math" at the bottom.
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying Fractions Worksheet | Free - CommonCoreSheets
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying Fractions Worksheet | Free - CommonCoreSheets
Let's solve each of these fraction word problems step by step. I'll go through each one, show the work, and provide the final answer.
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1) Robin needed 3 ½ feet of thread to finish a pillow she was making. If she has 2 times as much thread as she needs, what is the length of the thread she has?
- She needs: $ 3\frac{1}{2} = \frac{7}{2} $ feet
- She has 2 times that:
$ 2 \times \frac{7}{2} = 7 $ feet
✔ Answer: 7 feet
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2) A single box of thumb tacks weighed 3 ½ ounces. If a teacher had 4 boxes, how much would their combined weight be?
- One box: $ 3\frac{1}{2} = \frac{7}{2} $ ounces
- Four boxes:
$ 4 \times \frac{7}{2} = \frac{28}{2} = 14 $ ounces
✔ Answer: 14 ounces
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3) Chloe collected 4 times as many bags of cans as her friend. If her friend collected ⅝ of a bag, how much did Chloe collect?
- Friend collected: $ \frac{5}{8} $
- Chloe collected:
$ 4 \times \frac{5}{8} = \frac{20}{8} = \frac{5}{2} = 2\frac{1}{2} $ bags
✔ Answer: $ 2\frac{1}{2} $ bags
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4) At the mall shop a large chocolate shake takes ¼ of a pint of milk. The medium shake takes ½ the amount of a large, how much does the medium shake take?
- Large shake: $ \frac{1}{4} $ pint
- Medium shake: $ \frac{1}{2} \times \frac{1}{4} = \frac{1}{8} $ pint
✔ Answer: $ \frac{1}{8} $ pint
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5) A bottle of soda had 4 ½ of the daily recommended sugar. If you were to drink ½ of the bottle, how much of the daily recommended sugar would you have drunk?
- Full bottle: $ 4\frac{1}{2} = \frac{9}{2} $
- Half of that:
$ \frac{1}{2} \times \frac{9}{2} = \frac{9}{4} = 2\frac{1}{4} $
✔ Answer: $ 2\frac{1}{4} $ of daily recommended sugar
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6) A soda shop owner told his employee to add 2 full cups and ½ cup of syrup to each gallon of soda. If there were 4 gallons of soda, how much syrup would be needed?
- Syrup per gallon: $ 2 + \frac{1}{2} = 2\frac{1}{2} = \frac{5}{2} $ cups
- For 4 gallons:
$ 4 \times \frac{5}{2} = \frac{20}{2} = 10 $ cups
✔ Answer: 10 cups
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7) Adam had a lump of silly putty that was 4 ¾ inches long. He stretched it out to 2 ½ times its current length how long would it be?
- Original: $ 4\frac{3}{4} = \frac{19}{4} $
- Stretched: $ 2\frac{1}{2} = \frac{5}{2} $
- New length:
$ \frac{5}{2} \times \frac{19}{4} = \frac{95}{8} = 11\frac{7}{8} $ inches
✔ Answer: $ 11\frac{7}{8} $ inches
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8) A musician's hair was originally 3 inches long. She asked her hair dresser to cut ⅓ of it off. How many inches did she have cut off?
- Cut off: $ \frac{1}{3} \times 3 = 1 $ inch
✔ Answer: 1 inch
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9) After a party there was ½ of a pizza leftover. If the George gave ½ of the leftover to Olivia, what fraction of the pizza did he give to her?
- Leftover: $ \frac{1}{2} $
- He gave half of that:
$ \frac{1}{2} \times \frac{1}{2} = \frac{1}{4} $
✔ Answer: $ \frac{1}{4} $ of the whole pizza
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10) A geologist had two rocks on a scale that weighed 2 ½ lbs together. Rock A was ⅖ of the total weight. How much did rock A weigh?
- Total: $ 2\frac{1}{2} = \frac{5}{2} $ lbs
- Rock A: $ \frac{2}{5} \times \frac{5}{2} = \frac{10}{10} = 1 $ lb
✔ Answer: 1 lb
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11) A air freshener used 3 ½ milliliters of perfume. If Wendy wanted to make 3 air fresheners, how many milliliters of perfume would she use?
- One: $ 3\frac{1}{2} = \frac{7}{2} $
- Three:
$ 3 \times \frac{7}{2} = \frac{21}{2} = 10\frac{1}{2} $ mL
✔ Answer: $ 10\frac{1}{2} $ mL
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12) A batch of chicken required 3 ⅛ cups of flour. If a fast food restaurant was making 4 ⅕ batches, how much flour would they need?
- One batch: $ 3\frac{1}{8} = \frac{25}{8} $
- Number of batches: $ 4\frac{1}{5} = \frac{21}{5} $
- Total flour:
$ \frac{25}{8} \times \frac{21}{5} = \frac{525}{40} = \frac{105}{8} = 13\frac{1}{8} $ cups
✔ Answer: $ 13\frac{1}{8} $ cups
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1. 7 feet
2. 14 ounces
3. $ 2\frac{1}{2} $ bags
4. $ \frac{1}{8} $ pint
5. $ 2\frac{1}{4} $ of daily recommended sugar
6. 10 cups
7. $ 11\frac{7}{8} $ inches
8. 1 inch
9. $ \frac{1}{4} $ of the pizza
10. 1 lb
11. $ 10\frac{1}{2} $ mL
12. $ 13\frac{1}{8} $ cups
Let me know if you'd like this formatted for printing or want explanations in simpler terms!
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1) Robin needed 3 ½ feet of thread to finish a pillow she was making. If she has 2 times as much thread as she needs, what is the length of the thread she has?
- She needs: $ 3\frac{1}{2} = \frac{7}{2} $ feet
- She has 2 times that:
$ 2 \times \frac{7}{2} = 7 $ feet
✔ Answer: 7 feet
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2) A single box of thumb tacks weighed 3 ½ ounces. If a teacher had 4 boxes, how much would their combined weight be?
- One box: $ 3\frac{1}{2} = \frac{7}{2} $ ounces
- Four boxes:
$ 4 \times \frac{7}{2} = \frac{28}{2} = 14 $ ounces
✔ Answer: 14 ounces
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3) Chloe collected 4 times as many bags of cans as her friend. If her friend collected ⅝ of a bag, how much did Chloe collect?
- Friend collected: $ \frac{5}{8} $
- Chloe collected:
$ 4 \times \frac{5}{8} = \frac{20}{8} = \frac{5}{2} = 2\frac{1}{2} $ bags
✔ Answer: $ 2\frac{1}{2} $ bags
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4) At the mall shop a large chocolate shake takes ¼ of a pint of milk. The medium shake takes ½ the amount of a large, how much does the medium shake take?
- Large shake: $ \frac{1}{4} $ pint
- Medium shake: $ \frac{1}{2} \times \frac{1}{4} = \frac{1}{8} $ pint
✔ Answer: $ \frac{1}{8} $ pint
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5) A bottle of soda had 4 ½ of the daily recommended sugar. If you were to drink ½ of the bottle, how much of the daily recommended sugar would you have drunk?
- Full bottle: $ 4\frac{1}{2} = \frac{9}{2} $
- Half of that:
$ \frac{1}{2} \times \frac{9}{2} = \frac{9}{4} = 2\frac{1}{4} $
✔ Answer: $ 2\frac{1}{4} $ of daily recommended sugar
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6) A soda shop owner told his employee to add 2 full cups and ½ cup of syrup to each gallon of soda. If there were 4 gallons of soda, how much syrup would be needed?
- Syrup per gallon: $ 2 + \frac{1}{2} = 2\frac{1}{2} = \frac{5}{2} $ cups
- For 4 gallons:
$ 4 \times \frac{5}{2} = \frac{20}{2} = 10 $ cups
✔ Answer: 10 cups
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7) Adam had a lump of silly putty that was 4 ¾ inches long. He stretched it out to 2 ½ times its current length how long would it be?
- Original: $ 4\frac{3}{4} = \frac{19}{4} $
- Stretched: $ 2\frac{1}{2} = \frac{5}{2} $
- New length:
$ \frac{5}{2} \times \frac{19}{4} = \frac{95}{8} = 11\frac{7}{8} $ inches
✔ Answer: $ 11\frac{7}{8} $ inches
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8) A musician's hair was originally 3 inches long. She asked her hair dresser to cut ⅓ of it off. How many inches did she have cut off?
- Cut off: $ \frac{1}{3} \times 3 = 1 $ inch
✔ Answer: 1 inch
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9) After a party there was ½ of a pizza leftover. If the George gave ½ of the leftover to Olivia, what fraction of the pizza did he give to her?
- Leftover: $ \frac{1}{2} $
- He gave half of that:
$ \frac{1}{2} \times \frac{1}{2} = \frac{1}{4} $
✔ Answer: $ \frac{1}{4} $ of the whole pizza
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10) A geologist had two rocks on a scale that weighed 2 ½ lbs together. Rock A was ⅖ of the total weight. How much did rock A weigh?
- Total: $ 2\frac{1}{2} = \frac{5}{2} $ lbs
- Rock A: $ \frac{2}{5} \times \frac{5}{2} = \frac{10}{10} = 1 $ lb
✔ Answer: 1 lb
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11) A air freshener used 3 ½ milliliters of perfume. If Wendy wanted to make 3 air fresheners, how many milliliters of perfume would she use?
- One: $ 3\frac{1}{2} = \frac{7}{2} $
- Three:
$ 3 \times \frac{7}{2} = \frac{21}{2} = 10\frac{1}{2} $ mL
✔ Answer: $ 10\frac{1}{2} $ mL
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12) A batch of chicken required 3 ⅛ cups of flour. If a fast food restaurant was making 4 ⅕ batches, how much flour would they need?
- One batch: $ 3\frac{1}{8} = \frac{25}{8} $
- Number of batches: $ 4\frac{1}{5} = \frac{21}{5} $
- Total flour:
$ \frac{25}{8} \times \frac{21}{5} = \frac{525}{40} = \frac{105}{8} = 13\frac{1}{8} $ cups
✔ Answer: $ 13\frac{1}{8} $ cups
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✔ Final Answers:
1. 7 feet
2. 14 ounces
3. $ 2\frac{1}{2} $ bags
4. $ \frac{1}{8} $ pint
5. $ 2\frac{1}{4} $ of daily recommended sugar
6. 10 cups
7. $ 11\frac{7}{8} $ inches
8. 1 inch
9. $ \frac{1}{4} $ of the pizza
10. 1 lb
11. $ 10\frac{1}{2} $ mL
12. $ 13\frac{1}{8} $ cups
Let me know if you'd like this formatted for printing or want explanations in simpler terms!
Parent Tip: Review the logic above to help your child master the concept of multiplying fractions word problems 6th grade worksheet.
