Let’s solve each fraction multiplication problem step by step. Remember: when multiplying fractions, you multiply the top numbers (numerators) together and the bottom numbers (denominators) together. Then simplify if needed.
---
1.
$\frac{1}{3} \times \frac{1}{6} = \frac{1 \times 1}{3 \times 6} = \frac{1}{18}$
2.
$\frac{4}{5} \times \frac{5}{7} = \frac{4 \times 5}{5 \times 7} = \frac{20}{35}$ → Simplify: divide numerator and denominator by 5 → $\frac{4}{7}$
3.
$\frac{5}{6} \times \frac{2}{7} = \frac{5 \times 2}{6 \times 7} = \frac{10}{42}$ → Simplify: divide by 2 → $\frac{5}{21}$
4.
$\frac{5}{9} \times \frac{3}{10} = \frac{5 \times 3}{9 \times 10} = \frac{15}{90}$ → Simplify: divide by 15 → $\frac{1}{6}$
5.
$\frac{2}{21} \times \frac{7}{10} = \frac{2 \times 7}{21 \times 10} = \frac{14}{210}$ → Simplify: divide by 14 → $\frac{1}{15}$
6.
$\frac{6}{11} \times \frac{1}{3} = \frac{6 \times 1}{11 \times 3} = \frac{6}{33}$ → Simplify: divide by 3 → $\frac{2}{11}$
7.
$\frac{1}{8} \times \frac{2}{5} = \frac{1 \times 2}{8 \times 5} = \frac{2}{40}$ → Simplify: divide by 2 → $\frac{1}{20}$
8.
$\frac{4}{15} \times \frac{3}{22} = \frac{4 \times 3}{15 \times 22} = \frac{12}{330}$ → Simplify: divide by 6 → $\frac{2}{55}$
9.
$\frac{7}{18} \times \frac{9}{14} = \frac{7 \times 9}{18 \times 14} = \frac{63}{252}$ → Simplify: divide by 63 → $\frac{1}{4}$
*(Or cancel before multiplying: 7 and 14 → 1 and 2; 9 and 18 → 1 and 2 → $\frac{1}{2} \times \frac{1}{2} = \frac{1}{4}$)*
10.
$\frac{1}{10} \times \frac{4}{5} = \frac{1 \times 4}{10 \times 5} = \frac{4}{50}$ → Simplify: divide by 2 → $\frac{2}{25}$
11.
$\frac{5}{12} \times \frac{6}{7} = \frac{5 \times 6}{12 \times 7} = \frac{30}{84}$ → Simplify: divide by 6 → $\frac{5}{14}$
12.
$\frac{3}{14} \times \frac{7}{9} = \frac{3 \times 7}{14 \times 9} = \frac{21}{126}$ → Simplify: divide by 21 → $\frac{1}{6}$
*(Or cancel: 3 and 9 → 1 and 3; 7 and 14 → 1 and 2 → $\frac{1}{2} \times \frac{1}{3} = \frac{1}{6}$)*
---
Final Answer:
1. $\frac{1}{18}$
2. $\frac{4}{7}$
3. $\frac{5}{21}$
4. $\frac{1}{6}$
5. $\frac{1}{15}$
6. $\frac{2}{11}$
7. $\frac{1}{20}$
8. $\frac{2}{55}$
9. $\frac{1}{4}$
10. $\frac{2}{25}$
11. $\frac{5}{14}$
12. $\frac{1}{6}$
Parent Tip: Review the logic above to help your child master the concept of free multiplying fractions worksheet.
