Practice multiplying whole numbers with fractions on this educational worksheet.

Here are the solutions to the problems, worked out step by step.

1) $1 \times \frac{2}{3}$
* Multiply the whole number by the numerator (top number): $1 \times 2 = 2$.
* Keep the denominator (bottom number) the same: $3$.
* Result: $\frac{2}{3}$.

2) $7 \times \frac{1}{6}$
* Multiply the whole number by the numerator: $7 \times 1 = 7$.
* Keep the denominator the same: $6$.
* Result: $\frac{7}{6}$. Since the top is bigger than the bottom, we can write it as a mixed number. $6$ goes into $7$ one time with $1$ left over. So, $1 \frac{1}{6}$.

3) $6 \times \frac{5}{3}$
* Multiply the whole number by the numerator: $6 \times 5 = 30$.
* Keep the denominator the same: $3$.
* Result: $\frac{30}{3}$. This simplifies because $30$ divided by $3$ is exactly $10$.
* Result: $10$.

4) $8 \times \frac{4}{5}$
* Multiply the whole number by the numerator: $8 \times 4 = 32$.
* Keep the denominator the same: $5$.
* Result: $\frac{32}{5}$. To make it a mixed number, see how many times $5$ fits into $32$. It fits $6$ times ($5 \times 6 = 30$) with $2$ left over.
* Result: $6 \frac{2}{5}$.

5) $7 \times \frac{4}{4}$
* Notice that $\frac{4}{4}$ is equal to $1$.
* So, $7 \times 1 = 7$.
* Alternatively: $7 \times 4 = 28$, and $\frac{28}{4} = 7$.
* Result: $7$.

6) $6 \times \frac{4}{7}$
* Multiply the whole number by the numerator: $6 \times 4 = 24$.
* Keep the denominator the same: $7$.
* Result: $\frac{24}{7}$. To make it a mixed number, see how many times $7$ fits into $24$. It fits $3$ times ($7 \times 3 = 21$) with $3$ left over.
* Result: $3 \frac{3}{7}$.

7) $8 \times \frac{3}{4}$
* Multiply the whole number by the numerator: $8 \times 3 = 24$.
* Keep the denominator the same: $4$.
* Result: $\frac{24}{4}$. This simplifies because $24$ divided by $4$ is exactly $6$.
* Result: $6$.

8) $6 \times \frac{7}{2}$
* Multiply the whole number by the numerator: $6 \times 7 = 42$.
* Keep the denominator the same: $2$.
* Result: $\frac{42}{2}$. This simplifies because $42$ divided by $2$ is exactly $21$.
* Result: $21$.

9) $3 \times \frac{1}{5}$
* Multiply the whole number by the numerator: $3 \times 1 = 3$.
* Keep the denominator the same: $5$.
* Result: $\frac{3}{5}$.

10) $4 \times \frac{1}{8}$
* Multiply the whole number by the numerator: $4 \times 1 = 4$.
* Keep the denominator the same: $8$.
* Result: $\frac{4}{8}$. This fraction can be simplified. Both numbers can be divided by $4$.
* $\frac{4 \div 4}{8 \div 4} = \frac{1}{2}$.
* Result: $\frac{1}{2}$.

──────────────────────────────────────

Final Answer:
1) $\frac{2}{3}$
2) $1 \frac{1}{6}$ (or $\frac{7}{6}$)
3) $10$
4) $6 \frac{2}{5}$ (or $\frac{32}{5}$)
5) $7$
6) $3 \frac{3}{7}$ (or $\frac{24}{7}$)
7) $6$
8) $21$
9) $\frac{3}{5}$
10) $\frac{1}{2}$