Let's solve each of the word problems step by step and explain the reasoning.
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Problem 1:
Susan had a meter of rope. She gave 1/5th to her sister and 2/5th to her brother for their craft activity. How much portion of the rope will be with Susan now?
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Solution:
Total rope = 1 meter (which is equivalent to 1 whole)
She gave:
- $ \frac{1}{5} $ to her sister
- $ \frac{2}{5} $ to her brother
Total given away = $ \frac{1}{5} + \frac{2}{5} = \frac{3}{5} $
Remaining with Susan = $ 1 - \frac{3}{5} = \frac{5}{5} - \frac{3}{5} = \frac{2}{5} $
✔ Answer: $ \frac{2}{5} $ of the rope is left with Susan.
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Problem 2:
A shopkeeper had 150 mobile phones. He sold 1/3rd of them in the first week. How many mobile phones will be left with him now?
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Solution:
Total phones = 150
Sold = $ \frac{1}{3} $ of 150
Calculate $ \frac{1}{3} \times 150 = 50 $
So, 50 phones were sold.
Left = $ 150 - 50 = 100 $
✔ Answer: 100 mobile phones are left.
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Problem 3:
Rebecca spent 1/10th of her pocket money of $100 to buy a fidget spinner, 2/10th on buying new books. How much did she spend on buying new books and how much will she be left with now?
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Solution:
Total pocket money = $100
Spent on fidget spinner = $ \frac{1}{10} \times 100 = \$10 $
Spent on books = $ \frac{2}{10} \times 100 = \$20 $
Total spent = $10 + $20 = $30
Left with Rebecca = $100 - $30 = $70
✔ Answer:
- Spent on books:
$20
- Left with her:
$70
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Problem 4:
Tom’s father filled 50 gallons of petrol in his car. After driving for 3 days, he said 1/4th of the petrol is over. How many gallons of petrol is left in the car now?
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Solution:
Total petrol = 50 gallons
Used = $ \frac{1}{4} $ of 50 = $ \frac{1}{4} \times 50 = 12.5 $ gallons
Left = $ 50 - 12.5 = 37.5 $ gallons
✔ Answer: 37.5 gallons of petrol are left.
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Problem 5:
Anne’s mom gave her a box containing 30 chocolates. Anne gave 1/6th of the chocolates to Anna (her friend) and 2/6th to Frank (her brother). How many chocolates did she give to Anna and Frank each? How many will be left with Anne now?
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Solution:
Total chocolates = 30
Given to Anna = $ \frac{1}{6} \times 30 = 5 $ chocolates
Given to Frank = $ \frac{2}{6} \times 30 = 10 $ chocolates
Total given away = $ 5 + 10 = 15 $
Left with Anne = $ 30 - 15 = 15 $
✔ Answer:
- Given to Anna:
5 chocolates
- Given to Frank:
10 chocolates
- Left with Anne:
15 chocolates
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✔ Final Answers Summary:
| Problem | Answer |
|--------|--------|
| 1 | $ \frac{2}{5} $ of the rope |
| 2 | 100 mobile phones |
| 3 | Spent $20 on books; $70 left |
| 4 | 37.5 gallons of petrol left |
| 5 | Gave 5 to Anna, 10 to Frank; 15 left with Anne |
Let me know if you'd like these explained visually or with diagrams!
Parent Tip: Review the logic above to help your child master the concept of fraction word problems 4th grade worksheet.
