Worksheets for fraction multiplication - Free Printable

To solve the problems on this fractions worksheet, we need to multiply the given fractions. The general rule for multiplying fractions is:

\[
\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}
\]

After multiplying, we should simplify the resulting fraction if possible.

Let's solve each problem step by step.

---

1a. $\frac{8}{9} \times \frac{1}{9}$

\[
\frac{8}{9} \times \frac{1}{9} = \frac{8 \times 1}{9 \times 9} = \frac{8}{81}
\]

The fraction $\frac{8}{81}$ is already in its simplest form.

Answer: $\boxed{\frac{8}{81}}$

---

1b. $\frac{3}{12} \times \frac{7}{11}$

First, simplify $\frac{3}{12}$:
\[
\frac{3}{12} = \frac{1}{4}
\]

Now multiply:
\[
\frac{1}{4} \times \frac{7}{11} = \frac{1 \times 7}{4 \times 11} = \frac{7}{44}
\]

The fraction $\frac{7}{44}$ is already in its simplest form.

Answer: $\boxed{\frac{7}{44}}$

---

2a. $\frac{2}{8} \times \frac{1}{12}$

First, simplify $\frac{2}{8}$:
\[
\frac{2}{8} = \frac{1}{4}
\]

Now multiply:
\[
\frac{1}{4} \times \frac{1}{12} = \frac{1 \times 1}{4 \times 12} = \frac{1}{48}
\]

The fraction $\frac{1}{48}$ is already in its simplest form.

Answer: $\boxed{\frac{1}{48}}$

---

2b. $\frac{1}{8} \times \frac{6}{12}$

First, simplify $\frac{6}{12}$:
\[
\frac{6}{12} = \frac{1}{2}
\]

Now multiply:
\[
\frac{1}{8} \times \frac{1}{2} = \frac{1 \times 1}{8 \times 2} = \frac{1}{16}
\]

The fraction $\frac{1}{16}$ is already in its simplest form.

Answer: $\boxed{\frac{1}{16}}$

---

3a. $\frac{4}{10} \times \frac{1}{7}$

First, simplify $\frac{4}{10}$:
\[
\frac{4}{10} = \frac{2}{5}
\]

Now multiply:
\[
\frac{2}{5} \times \frac{1}{7} = \frac{2 \times 1}{5 \times 7} = \frac{2}{35}
\]

The fraction $\frac{2}{35}$ is already in its simplest form.

Answer: $\boxed{\frac{2}{35}}$

---

3b. $\frac{2}{9} \times \frac{3}{10}$

Multiply the numerators and denominators:
\[
\frac{2}{9} \times \frac{3}{10} = \frac{2 \times 3}{9 \times 10} = \frac{6}{90}
\]

Simplify $\frac{6}{90}$:
\[
\frac{6}{90} = \frac{1}{15}
\]

Answer: $\boxed{\frac{1}{15}}$

---

4a. $\frac{5}{6} \times \frac{1}{7}$

Multiply the numerators and denominators:
\[
\frac{5}{6} \times \frac{1}{7} = \frac{5 \times 1}{6 \times 7} = \frac{5}{42}
\]

The fraction $\frac{5}{42}$ is already in its simplest form.

Answer: $\boxed{\frac{5}{42}}$

---

4b. $\frac{1}{9} \times \frac{5}{12}$

Multiply the numerators and denominators:
\[
\frac{1}{9} \times \frac{5}{12} = \frac{1 \times 5}{9 \times 12} = \frac{5}{108}
\]

The fraction $\frac{5}{108}$ is already in its simplest form.

Answer: $\boxed{\frac{5}{108}}$

---

5a. $\frac{6}{8} \times \frac{3}{6}$

First, simplify $\frac{6}{8}$ and $\frac{3}{6}$:
\[
\frac{6}{8} = \frac{3}{4}, \quad \frac{3}{6} = \frac{1}{2}
\]

Now multiply:
\[
\frac{3}{4} \times \frac{1}{2} = \frac{3 \times 1}{4 \times 2} = \frac{3}{8}
\]

The fraction $\frac{3}{8}$ is already in its simplest form.

Answer: $\boxed{\frac{3}{8}}$

---

5b. $\frac{1}{10} \times \frac{5}{6}$

Multiply the numerators and denominators:
\[
\frac{1}{10} \times \frac{5}{6} = \frac{1 \times 5}{10 \times 6} = \frac{5}{60}
\]

Simplify $\frac{5}{60}$:
\[
\frac{5}{60} = \frac{1}{12}
\]

Answer: $\boxed{\frac{1}{12}}$

---

Final Answers:

1a. $\boxed{\frac{8}{81}}$
1b. $\boxed{\frac{7}{44}}$
2a. $\boxed{\frac{1}{48}}$
2b. $\boxed{\frac{1}{16}}$
3a. $\boxed{\frac{2}{35}}$
3b. $\boxed{\frac{1}{15}}$
4a. $\boxed{\frac{5}{42}}$
4b. $\boxed{\frac{5}{108}}$
5a. $\boxed{\frac{3}{8}}$
5b. $\boxed{\frac{1}{12}}$