Cross Multiplication Worksheet with Fraction Multiplication Problems

It looks like the worksheet is titled "Cross Multiplication Worksheet", but the problems shown are actually fraction multiplication problems, not cross multiplication (which typically applies to solving proportions). Let's solve each fraction multiplication problem step by step.

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🔷 How to Multiply Fractions:

To multiply two fractions:
$$
\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}
$$
Then simplify if possible.

Let’s go through each one:

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Row 1:

1. $\frac{1}{2} \times \frac{2}{3} = \frac{1 \times 2}{2 \times 3} = \frac{2}{6} = \boxed{\frac{1}{3}}$

2. $\frac{5}{8} \times \frac{16}{25} = \frac{5 \times 16}{8 \times 25} = \frac{80}{200} = \frac{2}{5}$
*(Simplify: divide numerator and denominator by 40)* → $\boxed{\frac{2}{5}}$

3. $\frac{3}{7} \times \frac{1}{6} = \frac{3 \times 1}{7 \times 6} = \frac{3}{42} = \boxed{\frac{1}{14}}$

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Row 2:

4. $\frac{6}{7} \times \frac{2}{3} = \frac{6 \times 2}{7 \times 3} = \frac{12}{21} = \boxed{\frac{4}{7}}$

5. $\frac{5}{6} \times \frac{3}{5} = \frac{5 \times 3}{6 \times 5} = \frac{15}{30} = \boxed{\frac{1}{2}}$

6. $\frac{1}{18} \times \frac{9}{5} = \frac{1 \times 9}{18 \times 5} = \frac{9}{90} = \boxed{\frac{1}{10}}$

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Row 3:

7. $\frac{2}{5} \times \frac{4}{11} = \frac{2 \times 4}{5 \times 11} = \frac{8}{55} = \boxed{\frac{8}{55}}$ (already simplified)

8. $\frac{4}{3} \times \frac{4}{3} = \frac{4 \times 4}{3 \times 3} = \frac{16}{9} = \boxed{1\frac{7}{9}}$

9. $\frac{2}{5} \times \frac{12}{3} = \frac{2 \times 12}{5 \times 3} = \frac{24}{15} = \frac{8}{5} = \boxed{1\frac{3}{5}}$

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Row 4:

10. $\frac{5}{8} \times \frac{2}{7} = \frac{5 \times 2}{8 \times 7} = \frac{10}{56} = \boxed{\frac{5}{28}}$

11. $\frac{1}{8} \times \frac{5}{9} = \frac{1 \times 5}{8 \times 9} = \frac{5}{72} = \boxed{\frac{5}{72}}$

12. $\frac{4}{8} \times \frac{2}{9} = \frac{1}{2} \times \frac{2}{9} = \frac{1 \times 2}{2 \times 9} = \frac{2}{18} = \boxed{\frac{1}{9}}$

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Row 5:

13. $\frac{1}{2} \times \frac{2}{5} = \frac{1 \times 2}{2 \times 5} = \frac{2}{10} = \boxed{\frac{1}{5}}$

14. $\frac{2}{5} \times \frac{6}{7} = \frac{2 \times 6}{5 \times 7} = \frac{12}{35} = \boxed{\frac{12}{35}}$

15. $\frac{2}{5} \times \frac{2}{3} = \frac{2 \times 2}{5 \times 3} = \frac{4}{15} = \boxed{\frac{4}{15}}$

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Row 6:

16. $\frac{1}{12} \times \frac{4}{9} = \frac{1 \times 4}{12 \times 9} = \frac{4}{108} = \boxed{\frac{1}{27}}$

17. $\frac{3}{8} \times \frac{5}{9} = \frac{3 \times 5}{8 \times 9} = \frac{15}{72} = \boxed{\frac{5}{24}}$

18. $\frac{4}{8} \times \frac{5}{12} = \frac{1}{2} \times \frac{5}{12} = \frac{1 \times 5}{2 \times 12} = \frac{5}{24} = \boxed{\frac{5}{24}}$

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1. $\frac{1}{2} \times \frac{2}{3}$ | $\frac{1}{3}$ |
| 2. $\frac{5}{8} \times \frac{16}{25}$ | $\frac{2}{5}$ |
| 3. $\frac{3}{7} \times \frac{1}{6}$ | $\frac{1}{14}$ |
| 4. $\frac{6}{7} \times \frac{2}{3}$ | $\frac{4}{7}$ |
| 5. $\frac{5}{6} \times \frac{3}{5}$ | $\frac{1}{2}$ |
| 6. $\frac{1}{18} \times \frac{9}{5}$ | $\frac{1}{10}$ |
| 7. $\frac{2}{5} \times \frac{4}{11}$ | $\frac{8}{55}$ |
| 8. $\frac{4}{3} \times \frac{4}{3}$ | $\frac{16}{9}$ or $1\frac{7}{9}$ |
| 9. $\frac{2}{5} \times \frac{12}{3}$ | $\frac{8}{5}$ or $1\frac{3}{5}$ |
| 10. $\frac{5}{8} \times \frac{2}{7}$ | $\frac{5}{28}$ |
| 11. $\frac{1}{8} \times \frac{5}{9}$ | $\frac{5}{72}$ |
| 12. $\frac{4}{8} \times \frac{2}{9}$ | $\frac{1}{9}$ |
| 13. $\frac{1}{2} \times \frac{2}{5}$ | $\frac{1}{5}$ |
| 14. $\frac{2}{5} \times \frac{6}{7}$ | $\frac{12}{35}$ |
| 15. $\frac{2}{5} \times \frac{2}{3}$ | $\frac{4}{15}$ |
| 16. $\frac{1}{12} \times \frac{4}{9}$ | $\frac{1}{27}$ |
| 17. $\frac{3}{8} \times \frac{5}{9}$ | $\frac{5}{24}$ |
| 18. $\frac{4}{8} \times \frac{5}{12}$ | $\frac{5}{24}$ |

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📝 Notes:

- The title says "Cross Multiplication," but these are multiplication of fractions, not cross-multiplication for solving equations.
- Cross multiplication is used when solving proportions like $\frac{a}{b} = \frac{c}{d}$ → $a \times d = b \times c$, which isn't what’s happening here.

If you intended a different kind of problem (e.g., solving proportions), please clarify!

Let me know if you'd like this as a printable answer key!