Grade 4 math worksheet focusing on calculating fractions of numbers, ideal for classroom or home practice.

Problem Overview:

The worksheet asks to calculate fractions of given numbers. Each problem involves multiplying a fraction by a whole number. The general formula to solve these problems is:

\[
\text{Fraction of a number} = \left( \frac{\text{Numerator}}{\text{Denominator}} \right) \times \text{Number}
\]

We will solve each problem step by step.

---

Section 1: Fractions of Numbers

#### Problem 1: $\frac{1}{2}$ of 24
\[
\frac{1}{2} \times 24 = \frac{24}{2} = 12
\]
Answer: 12

#### Problem 2: $\frac{3}{4}$ of 16
\[
\frac{3}{4} \times 16 = \frac{3 \times 16}{4} = \frac{48}{4} = 12
\]
Answer: 12

#### Problem 3: $\frac{1}{5}$ of 30
\[
\frac{1}{5} \times 30 = \frac{30}{5} = 6
\]
Answer: 6

#### Problem 4: $\frac{1}{3}$ of 18
\[
\frac{1}{3} \times 18 = \frac{18}{3} = 6
\]
Answer: 6

#### Problem 5: $\frac{2}{3}$ of 9
\[
\frac{2}{3} \times 9 = \frac{2 \times 9}{3} = \frac{18}{3} = 6
\]
Answer: 6

#### Problem 6: $\frac{4}{5}$ of 10
\[
\frac{4}{5} \times 10 = \frac{4 \times 10}{5} = \frac{40}{5} = 8
\]
Answer: 8

#### Problem 7: $\frac{1}{2}$ of 32
\[
\frac{1}{2} \times 32 = \frac{32}{2} = 16
\]
Answer: 16

#### Problem 8: $\frac{1}{4}$ of 20
\[
\frac{1}{4} \times 20 = \frac{20}{4} = 5
\]
Answer: 5

#### Problem 9: $\frac{1}{3}$ of 21
\[
\frac{1}{3} \times 21 = \frac{21}{3} = 7
\]
Answer: 7

#### Problem 10: $\frac{3}{4}$ of 8
\[
\frac{3}{4} \times 8 = \frac{3 \times 8}{4} = \frac{24}{4} = 6
\]
Answer: 6

#### Problem 11: $\frac{1}{5}$ of 35
\[
\frac{1}{5} \times 35 = \frac{35}{5} = 7
\]
Answer: 7

#### Problem 12: $\frac{2}{3}$ of 24
\[
\frac{2}{3} \times 24 = \frac{2 \times 24}{3} = \frac{48}{3} = 16
\]
Answer: 16

---

Section 2: Fractions of Numbers

#### Problem 1: $\frac{3}{5}$ of 25
\[
\frac{3}{5} \times 25 = \frac{3 \times 25}{5} = \frac{75}{5} = 15
\]
Answer: 15

#### Problem 2: $\frac{1}{4}$ of 28
\[
\frac{1}{4} \times 28 = \frac{28}{4} = 7
\]
Answer: 7

#### Problem 3: $\frac{1}{3}$ of 9
\[
\frac{1}{3} \times 9 = \frac{9}{3} = 3
\]
Answer: 3

#### Problem 4: $\frac{2}{5}$ of 40
\[
\frac{2}{5} \times 40 = \frac{2 \times 40}{5} = \frac{80}{5} = 16
\]
Answer: 16

#### Problem 5: $\frac{4}{5}$ of 15
\[
\frac{4}{5} \times 15 = \frac{4 \times 15}{5} = \frac{60}{5} = 12
\]
Answer: 12

#### Problem 6: $\frac{1}{2}$ of 50
\[
\frac{1}{2} \times 50 = \frac{50}{2} = 25
\]
Answer: 25

#### Problem 7: $\frac{2}{3}$ of 30
\[
\frac{2}{3} \times 30 = \frac{2 \times 30}{3} = \frac{60}{3} = 20
\]
Answer: 20

#### Problem 8: $\frac{3}{4}$ of 32
\[
\frac{3}{4} \times 32 = \frac{3 \times 32}{4} = \frac{96}{4} = 24
\]
Answer: 24

#### Problem 9: $\frac{1}{6}$ of 24
\[
\frac{1}{6} \times 24 = \frac{24}{6} = 4
\]
Answer: 4

#### Problem 10: $\frac{3}{5}$ of 45
\[
\frac{3}{5} \times 45 = \frac{3 \times 45}{5} = \frac{135}{5} = 27
\]
Answer: 27

#### Problem 11: $\frac{1}{10}$ of 30
\[
\frac{1}{10} \times 30 = \frac{30}{10} = 3
\]
Answer: 3

#### Problem 12: $\frac{1}{8}$ of 32
\[
\frac{1}{8} \times 32 = \frac{32}{8} = 4
\]
Answer: 4

---

Final Answers:

#### Section 1:
1. 12
2. 12
3. 6
4. 6
5. 6
6. 8
7. 16
8. 5
9. 7
10. 6
11. 7
12. 16

#### Section 2:
1. 15
2. 7
3. 3
4. 16
5. 12
6. 25
7. 20
8. 24
9. 4
10. 27
11. 3
12. 4

Boxed Final Answer:

\[
\boxed{
\begin{array}{ccc}
12 & 6 & 7 \\
12 & 8 & 6 \\
6 & 16 & 7 \\
6 & 5 & 16 \\
15 & 7 & 4 \\
12 & 25 & 27 \\
3 & 20 & 3 \\
16 & 24 & 4 \\
\end{array}
}
\]