Fractions Word Problems | Grade1to6.com - Free Printable

Let's solve each of the word problems step by step and explain the solutions clearly.

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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?

#### Solution:
- Total rope = 1 meter (which we can think of as 1 whole)
- Given to sister = $ \frac{1}{5} $
- Given to brother = $ \frac{2}{5} $

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?

#### Solution:
- Total phones = 150
- Sold = $ \frac{1}{3} $ of 150

Calculate:
$$
\frac{1}{3} \times 150 = 50
$$

Phones 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 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?

#### 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:
$$
100 - 30 = \$70
$$

✔ Answer: She spent $20 on books and has $70 left.

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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?

#### Solution:
- Total petrol = 50 gallons
- Used = $ \frac{1}{4} $ of 50

$$
\frac{1}{4} \times 50 = 12.5 \text{ gallons used}
$$

Petrol left:
$$
50 - 12.5 = 37.5 \text{ gallons}
$$

✔ 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?

#### Solution:
- Total chocolates = 30
- Given to Anna = $ \frac{1}{6} \times 30 = 5 $
- Given to Frank = $ \frac{2}{6} \times 30 = 10 $

Total given away:
$$
5 + 10 = 15
$$

Left with Anne:
$$
30 - 15 = 15
$$

✔ Answer:
- Anne gave 5 chocolates to Anna.
- Anne gave 10 chocolates to Frank.
- 15 chocolates are left with Anne.

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✔ Final Answers Summary:

| Problem | Answer |
|--------|--------|
| 1 | $ \frac{2}{5} $ of the rope remains |
| 2 | 100 mobile phones left |
| 3 | $20 spent on books, $70 left |
| 4 | 37.5 gallons of petrol left |
| 5 | 5 to Anna, 10 to Frank, 15 left with Anne |

These problems involve fractions, subtraction, and multiplication — key concepts in Grade 4 maths. Each solution uses real-life contexts to reinforce understanding of fractions and basic arithmetic operations.