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This worksheet helps students practice calculating unit fractions by dividing whole numbers, featuring clear examples at the top.

Math worksheet titled Fraction of a number with unit fraction examples and practice problems for students.

Math worksheet titled Fraction of a number with unit fraction examples and practice problems for students.

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Show Answer Key & Explanations Step-by-step solution for: Fraction of a number | 5th grade Math Worksheet | GreatSchools

Problem Description:


The task involves calculating fractions of given numbers. The goal is to compute the values of various fractions (e.g., $\frac{1}{2}$, $\frac{1}{3}$, $\frac{1}{4}$, etc.) of specific numbers and write the answers in the provided boxes.

Solution Approach:


To solve each part of the problem, we will:
1. Identify the fraction and the number given.
2. Perform the division operation to find the fraction of the number.
3. Write the result in the corresponding box.

Let's go through each part step by step.

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#### Part 1: Work out to find the fraction of the number

1. $\frac{1}{7}$ of 42
- Calculation: $\frac{1}{7} \times 42 = \frac{42}{7} = 6$
- Answer: $6$

2. $\frac{1}{6}$ of 42
- Calculation: $\frac{1}{6} \times 42 = \frac{42}{6} = 7$
- Answer: $7$

3. $\frac{1}{7}$ of 49
- Calculation: $\frac{1}{7} \times 49 = \frac{49}{7} = 7$
- Answer: $7$

4. $\frac{1}{6}$ of 54
- Calculation: $\frac{1}{6} \times 54 = \frac{54}{6} = 9$
- Answer: $9$

5. $\frac{1}{4}$ of 100
- Calculation: $\frac{1}{4} \times 100 = \frac{100}{4} = 25$
- Answer: $25$

6. $\frac{1}{8}$ of 100
- Calculation: $\frac{1}{8} \times 100 = \frac{100}{8} = 12.5$
- Answer: $12.5$

---

#### Part 2: Work out to find the fraction of the number

1. $\frac{1}{2}$ of 12
- Calculation: $\frac{1}{2} \times 12 = \frac{12}{2} = 6$
- Answer: $6$

2. $\frac{1}{2}$ of 54
- Calculation: $\frac{1}{2} \times 54 = \frac{54}{2} = 27$
- Answer: $27$

3. $\frac{1}{2}$ of 52
- Calculation: $\frac{1}{2} \times 52 = \frac{52}{2} = 26$
- Answer: $26$

4. $\frac{1}{2}$ of 125
- Calculation: $\frac{1}{2} \times 125 = \frac{125}{2} = 62.5$
- Answer: $62.5$

5. $\frac{1}{2}$ of 100
- Calculation: $\frac{1}{2} \times 100 = \frac{100}{2} = 50$
- Answer: $50$

6. $\frac{1}{2}$ of 102
- Calculation: $\frac{1}{2} \times 102 = \frac{102}{2} = 51$
- Answer: $51$

7. $\frac{1}{2}$ of 100
- Calculation: $\frac{1}{2} \times 100 = \frac{100}{2} = 50$
- Answer: $50$

8. $\frac{1}{2}$ of 25
- Calculation: $\frac{1}{2} \times 25 = \frac{25}{2} = 12.5$
- Answer: $12.5$

9. $\frac{1}{2}$ of 86
- Calculation: $\frac{1}{2} \times 86 = \frac{86}{2} = 43$
- Answer: $43$

10. $\frac{1}{2}$ of 56
- Calculation: $\frac{1}{2} \times 56 = \frac{56}{2} = 28$
- Answer: $28$

11. $\frac{1}{2}$ of 102
- Calculation: $\frac{1}{2} \times 102 = \frac{102}{2} = 51$
- Answer: $51$

12. $\frac{1}{2}$ of 122
- Calculation: $\frac{1}{2} \times 122 = \frac{122}{2} = 61$
- Answer: $61$

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Final Answers:


1. $\frac{1}{7}$ of 42: $\boxed{6}$
2. $\frac{1}{6}$ of 42: $\boxed{7}$
3. $\frac{1}{7}$ of 49: $\boxed{7}$
4. $\frac{1}{6}$ of 54: $\boxed{9}$
5. $\frac{1}{4}$ of 100: $\boxed{25}$
6. $\frac{1}{8}$ of 100: $\boxed{12.5}$
7. $\frac{1}{2}$ of 12: $\boxed{6}$
8. $\frac{1}{2}$ of 54: $\boxed{27}$
9. $\frac{1}{2}$ of 52: $\boxed{26}$
10. $\frac{1}{2}$ of 125: $\boxed{62.5}$
11. $\frac{1}{2}$ of 100: $\boxed{50}$
12. $\frac{1}{2}$ of 102: $\boxed{51}$
13. $\frac{1}{2}$ of 100: $\boxed{50}$
14. $\frac{1}{2}$ of 25: $\boxed{12.5}$
15. $\frac{1}{2}$ of 86: $\boxed{43}$
16. $\frac{1}{2}$ of 56: $\boxed{28}$
17. $\frac{1}{2}$ of 102: $\boxed{51}$
18. $\frac{1}{2}$ of 122: $\boxed{61}$

---

Thus, the final boxed answers are:
$$
\boxed{6, 7, 7, 9, 25, 12.5, 6, 27, 26, 62.5, 50, 51, 50, 12.5, 43, 28, 51, 61}
$$
Parent Tip: Review the logic above to help your child master the concept of fractions of a number worksheet.
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