Multiply a Whole Number by a Fraction | Worksheet - Free Printable

Explanation:
We are multiplying a whole number by a fraction. The rule is:

> Multiply the whole number by the numerator of the fraction. Keep the denominator the same.

Then, simplify the result — write it as a proper fraction (if possible), or as a mixed number if it’s improper (top number > bottom number).

Let’s solve each problem one by one.

1. $3 \times \frac{2}{9} = \frac{3 \times 2}{9} = \frac{6}{9} = \frac{2}{3}$
(Divide numerator and denominator by 3)

2. $4 \times \frac{1}{8} = \frac{4 \times 1}{8} = \frac{4}{8} = \frac{1}{2}$

3. $7 \times \frac{10}{11} = \frac{70}{11} = 6\frac{4}{11}$
(70 ÷ 11 = 6 remainder 4)

4. $6 \times \frac{5}{9} = \frac{30}{9} = \frac{10}{3} = 3\frac{1}{3}$
(30 ÷ 9 → divide numerator and denominator by 3 → 10/3; 10 ÷ 3 = 3 r1)

5. $\frac{6}{11} \times 4 = \frac{6 \times 4}{11} = \frac{24}{11} = 2\frac{2}{11}$

6. $\frac{3}{7} \times 9 = \frac{27}{7} = 3\frac{6}{7}$
(27 ÷ 7 = 3 r6)

7. $\frac{4}{5} \times 5 = \frac{20}{5} = 4$
(The 5s cancel: 4 × 1 = 4)

8. $\frac{5}{8} \times 2 = \frac{10}{8} = \frac{5}{4} = 1\frac{1}{4}$

9. $5 \times \frac{7}{9} = \frac{35}{9} = 3\frac{8}{9}$
(35 ÷ 9 = 3 r8)

10. $\frac{3}{5} \times 11 = \frac{33}{5} = 6\frac{3}{5}$

11. $9 \times \frac{2}{6} = \frac{18}{6} = 3$
(Note: $\frac{2}{6} = \frac{1}{3}$, so 9 × 1/3 = 3 — same answer)

12. $\frac{4}{7} \times 12 = \frac{48}{7} = 6\frac{6}{7}$
(48 ÷ 7 = 6 r6)

13. $\frac{8}{9} \times 10 = \frac{80}{9} = 8\frac{8}{9}$
(80 ÷ 9 = 8 r8)

14. $\frac{7}{12} \times 6 = \frac{42}{12} = \frac{7}{2} = 3\frac{1}{2}$
(Simplify 42/12: divide numerator and denominator by 6 → 7/2)

Now double-check each for simplification and correctness.

All look correct.

Final Answer:
$\frac{2}{3},\ \frac{1}{2},\ 6\frac{4}{11},\ 3\frac{1}{3},\ 2\frac{2}{11},\ 3\frac{6}{7},\ 4,\ 1\frac{1}{4},\ 3\frac{8}{9},\ 6\frac{3}{5},\ 3,\ 6\frac{6}{7},\ 8\frac{8}{9},\ 3\frac{1}{2}$