Let’s solve each problem step by step. Remember: when multiplying fractions, you multiply the numerators (top numbers) together and the denominators (bottom numbers) together. Then simplify if needed.
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1a.
$\frac{8}{9} \times \frac{1}{9}$
Multiply numerators: $8 \times 1 = 8$
Multiply denominators: $9 \times 9 = 81$
Answer: $\frac{8}{81}$ → already simplified.
1b.
$\frac{3}{12} \times \frac{7}{11}$
First, simplify $\frac{3}{12}$ to $\frac{1}{4}$ (divide top and bottom by 3).
Now: $\frac{1}{4} \times \frac{7}{11} = \frac{1 \times 7}{4 \times 11} = \frac{7}{44}$
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2a.
$\frac{2}{8} \times \frac{1}{12}$
Simplify $\frac{2}{8}$ to $\frac{1}{4}$
Then: $\frac{1}{4} \times \frac{1}{12} = \frac{1}{48}$
2b.
$\frac{1}{8} \times \frac{6}{12}$
Simplify $\frac{6}{12}$ to $\frac{1}{2}$
Then: $\frac{1}{8} \times \frac{1}{2} = \frac{1}{16}$
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3a.
$\frac{4}{10} \times \frac{1}{7}$
Simplify $\frac{4}{10}$ to $\frac{2}{5}$
Then: $\frac{2}{5} \times \frac{1}{7} = \frac{2}{35}$
3b.
$\frac{2}{9} \times \frac{3}{10}$
Multiply straight across: $\frac{2 \times 3}{9 \times 10} = \frac{6}{90}$
Simplify: divide numerator and denominator by 6 → $\frac{1}{15}$
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4a.
$\frac{5}{6} \times \frac{1}{7} = \frac{5 \times 1}{6 \times 7} = \frac{5}{42}$ → already simplified.
4b.
$\frac{1}{9} \times \frac{5}{12} = \frac{1 \times 5}{9 \times 12} = \frac{5}{108}$ → already simplified.
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5a.
$\frac{6}{8} \times \frac{3}{6}$
Simplify both first:
$\frac{6}{8} = \frac{3}{4}$, and $\frac{3}{6} = \frac{1}{2}$
Now: $\frac{3}{4} \times \frac{1}{2} = \frac{3}{8}$
5b.
$\frac{1}{10} \times \frac{5}{6}$
Multiply: $\frac{1 \times 5}{10 \times 6} = \frac{5}{60}$
Simplify: divide by 5 → $\frac{1}{12}$
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Final Answer:
1a. $\frac{8}{81}$
1b. $\frac{7}{44}$
2a. $\frac{1}{48}$
2b. $\frac{1}{16}$
3a. $\frac{2}{35}$
3b. $\frac{1}{15}$
4a. $\frac{5}{42}$
4b. $\frac{5}{108}$
5a. $\frac{3}{8}$
5b. $\frac{1}{12}$
Parent Tip: Review the logic above to help your child master the concept of worksheet on multiplying fractions.
