Multiply Fractions By Whole Numbers Worksheet - Free Printable

Problem: Multiply the given fractions and whole numbers.

We are tasked with solving a series of multiplication problems involving fractions and whole numbers. Let's solve each problem step by step.

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#### 1. \( 2 \times \frac{1}{4} \)
- Multiply the whole number by the numerator of the fraction:
\[
2 \times \frac{1}{4} = \frac{2 \times 1}{4} = \frac{2}{4}
\]
- Simplify the fraction:
\[
\frac{2}{4} = \frac{1}{2}
\]
- Answer: \( \frac{1}{2} \)

---

#### 2. \( 7 \times \frac{4}{6} \)
- Multiply the whole number by the numerator of the fraction:
\[
7 \times \frac{4}{6} = \frac{7 \times 4}{6} = \frac{28}{6}
\]
- Simplify the fraction:
\[
\frac{28}{6} = \frac{14}{3} = 4\frac{2}{3}
\]
- Answer: \( \frac{14}{3} \) or \( 4\frac{2}{3} \)

---

#### 3. \( 4 \times \frac{2}{8} \)
- Multiply the whole number by the numerator of the fraction:
\[
4 \times \frac{2}{8} = \frac{4 \times 2}{8} = \frac{8}{8}
\]
- Simplify the fraction:
\[
\frac{8}{8} = 1
\]
- Answer: \( 1 \)

---

#### 4. \( 7 \times \frac{2}{3} \)
- Multiply the whole number by the numerator of the fraction:
\[
7 \times \frac{2}{3} = \frac{7 \times 2}{3} = \frac{14}{3}
\]
- Simplify the fraction (if needed):
\[
\frac{14}{3} = 4\frac{2}{3}
\]
- Answer: \( \frac{14}{3} \) or \( 4\frac{2}{3} \)

---

#### 5. \( 5 \times \frac{2}{4} \)
- Multiply the whole number by the numerator of the fraction:
\[
5 \times \frac{2}{4} = \frac{5 \times 2}{4} = \frac{10}{4}
\]
- Simplify the fraction:
\[
\frac{10}{4} = \frac{5}{2} = 2\frac{1}{2}
\]
- Answer: \( \frac{5}{2} \) or \( 2\frac{1}{2} \)

---

#### 6. \( 8 \times \frac{7}{8} \)
- Multiply the whole number by the numerator of the fraction:
\[
8 \times \frac{7}{8} = \frac{8 \times 7}{8} = \frac{56}{8}
\]
- Simplify the fraction:
\[
\frac{56}{8} = 7
\]
- Answer: \( 7 \)

---

#### 7. \( 5 \times \frac{2}{3} \)
- Multiply the whole number by the numerator of the fraction:
\[
5 \times \frac{2}{3} = \frac{5 \times 2}{3} = \frac{10}{3}
\]
- Simplify the fraction (if needed):
\[
\frac{10}{3} = 3\frac{1}{3}
\]
- Answer: \( \frac{10}{3} \) or \( 3\frac{1}{3} \)

---

#### 8. \( 2 \times \frac{5}{8} \)
- Multiply the whole number by the numerator of the fraction:
\[
2 \times \frac{5}{8} = \frac{2 \times 5}{8} = \frac{10}{8}
\]
- Simplify the fraction:
\[
\frac{10}{8} = \frac{5}{4} = 1\frac{1}{4}
\]
- Answer: \( \frac{5}{4} \) or \( 1\frac{1}{4} \)

---

#### 9. \( 5 \times \frac{1}{6} \)
- Multiply the whole number by the numerator of the fraction:
\[
5 \times \frac{1}{6} = \frac{5 \times 1}{6} = \frac{5}{6}
\]
- The fraction is already in simplest form.
- Answer: \( \frac{5}{6} \)

---

#### 10. \( 3 \times \frac{7}{8} \)
- Multiply the whole number by the numerator of the fraction:
\[
3 \times \frac{7}{8} = \frac{3 \times 7}{8} = \frac{21}{8}
\]
- Simplify the fraction (if needed):
\[
\frac{21}{8} = 2\frac{5}{8}
\]
- Answer: \( \frac{21}{8} \) or \( 2\frac{5}{8} \)

---

#### 11. \( 4 \times \frac{2}{3} \)
- Multiply the whole number by the numerator of the fraction:
\[
4 \times \frac{2}{3} = \frac{4 \times 2}{3} = \frac{8}{3}
\]
- Simplify the fraction (if needed):
\[
\frac{8}{3} = 2\frac{2}{3}
\]
- Answer: \( \frac{8}{3} \) or \( 2\frac{2}{3} \)

---

#### 12. \( 1 \times \frac{1}{5} \)
- Multiply the whole number by the numerator of the fraction:
\[
1 \times \frac{1}{5} = \frac{1 \times 1}{5} = \frac{1}{5}
\]
- The fraction is already in simplest form.
- Answer: \( \frac{1}{5} \)

---

#### 13. \( 7 \times \frac{1}{8} \)
- Multiply the whole number by the numerator of the fraction:
\[
7 \times \frac{1}{8} = \frac{7 \times 1}{8} = \frac{7}{8}
\]
- The fraction is already in simplest form.
- Answer: \( \frac{7}{8} \)

---

#### 14. \( 4 \times \frac{1}{4} \)
- Multiply the whole number by the numerator of the fraction:
\[
4 \times \frac{1}{4} = \frac{4 \times 1}{4} = \frac{4}{4}
\]
- Simplify the fraction:
\[
\frac{4}{4} = 1
\]
- Answer: \( 1 \)

---

#### 15. \( 2 \times \frac{2}{4} \)
- Multiply the whole number by the numerator of the fraction:
\[
2 \times \frac{2}{4} = \frac{2 \times 2}{4} = \frac{4}{4}
\]
- Simplify the fraction:
\[
\frac{4}{4} = 1
\]
- Answer: \( 1 \)

---

#### 16. \( 1 \times \frac{3}{4} \)
- Multiply the whole number by the numerator of the fraction:
\[
1 \times \frac{3}{4} = \frac{1 \times 3}{4} = \frac{3}{4}
\]
- The fraction is already in simplest form.
- Answer: \( \frac{3}{4} \)

---

#### 17. \( 7 \times \frac{2}{4} \)
- Multiply the whole number by the numerator of the fraction:
\[
7 \times \frac{2}{4} = \frac{7 \times 2}{4} = \frac{14}{4}
\]
- Simplify the fraction:
\[
\frac{14}{4} = \frac{7}{2} = 3\frac{1}{2}
\]
- Answer: \( \frac{7}{2} \) or \( 3\frac{1}{2} \)

---

#### 18. \( 5 \times \frac{6}{8} \)
- Multiply the whole number by the numerator of the fraction:
\[
5 \times \frac{6}{8} = \frac{5 \times 6}{8} = \frac{30}{8}
\]
- Simplify the fraction:
\[
\frac{30}{8} = \frac{15}{4} = 3\frac{3}{4}
\]
- Answer: \( \frac{15}{4} \) or \( 3\frac{3}{4} \)

---

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & \frac{1}{2} \\
2. & \frac{14}{3} \text{ or } 4\frac{2}{3} \\
3. & 1 \\
4. & \frac{14}{3} \text{ or } 4\frac{2}{3} \\
5. & \frac{5}{2} \text{ or } 2\frac{1}{2} \\
6. & 7 \\
7. & \frac{10}{3} \text{ or } 3\frac{1}{3} \\
8. & \frac{5}{4} \text{ or } 1\frac{1}{4} \\
9. & \frac{5}{6} \\
10. & \frac{21}{8} \text{ or } 2\frac{5}{8} \\
11. & \frac{8}{3} \text{ or } 2\frac{2}{3} \\
12. & \frac{1}{5} \\
13. & \frac{7}{8} \\
14. & 1 \\
15. & 1 \\
16. & \frac{3}{4} \\
17. & \frac{7}{2} \text{ or } 3\frac{1}{2} \\
18. & \frac{15}{4} \text{ or } 3\frac{3}{4} \\
\end{array}
}
\]