Let’s solve each fraction multiplication problem step by step. Remember: to multiply fractions, you multiply the numerators (top numbers) together and the denominators (bottom numbers) together. Then simplify if needed.
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1. $\frac{4}{8} \times \frac{3}{4}$
Multiply numerators: $4 × 3 = 12$
Multiply denominators: $8 × 4 = 32$
→ $\frac{12}{32}$ → Simplify: divide numerator and denominator by 4 → $\frac{3}{8}$
2. $\frac{2}{4} \times \frac{3}{8}$
Numerators: $2 × 3 = 6$
Denominators: $4 × 8 = 32$
→ $\frac{6}{32}$ → Simplify: divide by 2 → $\frac{3}{16}$
3. $\frac{1}{7} \times \frac{4}{11}$
Numerators: $1 × 4 = 4$
Denominators: $7 × 11 = 77$
→ $\frac{4}{77}$ (already simplified)
4. $\frac{2}{5} \times \frac{5}{14}$
Numerators: $2 × 5 = 10$
Denominators: $5 × 14 = 70$
→ $\frac{10}{70}$ → Simplify: divide by 10 → $\frac{1}{7}$
5. $\frac{3}{4} \times \frac{8}{21}$
Numerators: $3 × 8 = 24$
Denominators: $4 × 21 = 84$
→ $\frac{24}{84}$ → Simplify: divide by 12 → $\frac{2}{7}$
6. $\frac{2}{7} \times \frac{10}{18}$
Numerators: $2 × 10 = 20$
Denominators: $7 × 18 = 126$
→ $\frac{20}{126}$ → Simplify: divide by 2 → $\frac{10}{63}$
7. $\frac{3}{11} \times \frac{5}{9}$
Numerators: $3 × 5 = 15$
Denominators: $11 × 9 = 99$
→ $\frac{15}{99}$ → Simplify: divide by 3 → $\frac{5}{33}$
8. $\frac{6}{20} \times \frac{1}{12}$
Numerators: $6 × 1 = 6$
Denominators: $20 × 12 = 240$
→ $\frac{6}{240}$ → Simplify: divide by 6 → $\frac{1}{40}$
9. $\frac{5}{12} \times \frac{6}{20}$
Numerators: $5 × 6 = 30$
Denominators: $12 × 20 = 240$
→ $\frac{30}{240}$ → Simplify: divide by 30 → $\frac{1}{8}$
10. $\frac{8}{9} \times \frac{3}{15}$
Numerators: $8 × 3 = 24$
Denominators: $9 × 15 = 135$
→ $\frac{24}{135}$ → Simplify: divide by 3 → $\frac{8}{45}$
11. $\frac{6}{28} \times \frac{7}{18}$
Numerators: $6 × 7 = 42$
Denominators: $28 × 18 = 504$
→ $\frac{42}{504}$ → Simplify: divide by 42 → $\frac{1}{12}$
12. $\frac{3}{8} \times \frac{12}{30}$
Numerators: $3 × 12 = 36$
Denominators: $8 × 30 = 240$
→ $\frac{36}{240}$ → Simplify: divide by 12 → $\frac{3}{20}$
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Final Answer:
1. $\frac{3}{8}$
2. $\frac{3}{16}$
3. $\frac{4}{77}$
4. $\frac{1}{7}$
5. $\frac{2}{7}$
6. $\frac{10}{63}$
7. $\frac{5}{33}$
8. $\frac{1}{40}$
9. $\frac{1}{8}$
10. $\frac{8}{45}$
11. $\frac{1}{12}$
12. $\frac{3}{20}$
Parent Tip: Review the logic above to help your child master the concept of fraction multiplication and division worksheet.