Fraction math worksheet for practicing multiplication and division of fractions.

It looks like the worksheet is titled "Adding and Subtracting Fractions", but the instructions say to multiply and divide the fractions. So, we’ll follow the instructions: multiply and divide the given fractions.

Let’s solve each problem step by step.

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1. Multiplication and Division of Fractions

#### Multiplication Rule:
Multiply numerators together and denominators together:
$$
\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}
$$

#### Division Rule:
Multiply by the reciprocal:
$$
\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}
$$

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Now let's solve each one:

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Column 1

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

2. $ \frac{1}{6} \div \frac{8}{11} = \frac{1}{6} \times \frac{11}{8} = \frac{11}{48} $

3. $ \frac{1}{3} \div \frac{13}{9} = \frac{1}{3} \times \frac{9}{13} = \frac{9}{39} = \frac{3}{13} $ (simplify by dividing numerator and denominator by 3)

4. $ \frac{13}{4} \div \frac{1}{2} = \frac{13}{4} \times \frac{2}{1} = \frac{26}{4} = \frac{13}{2} $ or $ 6\frac{1}{2} $

5. $ \frac{17}{6} \div \frac{3}{5} = \frac{17}{6} \times \frac{5}{3} = \frac{85}{18} $ or $ 4\frac{13}{18} $

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Column 2

6. $ \frac{1}{4} \times \frac{5}{3} = \frac{1 \times 5}{4 \times 3} = \frac{5}{12} $

7. $ \frac{11}{2} \div \frac{1}{2} = \frac{11}{2} \times \frac{2}{1} = \frac{22}{2} = 11 $

8. $ \frac{4}{3} \div \frac{11}{12} = \frac{4}{3} \times \frac{12}{11} = \frac{48}{33} = \frac{16}{11} $ or $ 1\frac{5}{11} $ (divide numerator and denominator by 3)

9. $ \frac{1}{3} \times \frac{20}{9} = \frac{20}{27} $

10. $ \frac{13}{7} \times \frac{14}{11} = \frac{13 \times 14}{7 \times 11} = \frac{182}{77} $

Simplify: Divide numerator and denominator by 7 → $ \frac{26}{11} $ or $ 2\frac{4}{11} $

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Column 3

11. $ \frac{10}{3} \times \frac{11}{6} = \frac{110}{18} = \frac{55}{9} $ or $ 6\frac{1}{9} $ (divide numerator and denominator by 2)

12. $ \frac{1}{2} \div \frac{1}{2} = \frac{1}{2} \times \frac{2}{1} = \frac{2}{2} = 1 $

13. $ \frac{14}{9} \times \frac{7}{10} = \frac{98}{90} = \frac{49}{45} $ or $ 1\frac{4}{45} $ (divide by 2)

14. $ \frac{15}{8} \times \frac{7}{6} = \frac{105}{48} = \frac{35}{16} $ or $ 2\frac{3}{16} $ (divide by 3)

15. $ \frac{3}{2} \times \frac{4}{9} = \frac{12}{18} = \frac{2}{3} $ (divide by 6)

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| $ \frac{1}{2} \times \frac{5}{4} $ | $ \frac{5}{8} $ |
| $ \frac{1}{6} \div \frac{8}{11} $ | $ \frac{11}{48} $ |
| $ \frac{1}{3} \div \frac{13}{9} $ | $ \frac{3}{13} $ |
| $ \frac{13}{4} \div \frac{1}{2} $ | $ \frac{13}{2} $ or $ 6\frac{1}{2} $ |
| $ \frac{17}{6} \div \frac{3}{5} $ | $ \frac{85}{18} $ or $ 4\frac{13}{18} $ |
| $ \frac{1}{4} \times \frac{5}{3} $ | $ \frac{5}{12} $ |
| $ \frac{11}{2} \div \frac{1}{2} $ | $ 11 $ |
| $ \frac{4}{3} \div \frac{11}{12} $ | $ \frac{16}{11} $ or $ 1\frac{5}{11} $ |
| $ \frac{1}{3} \times \frac{20}{9} $ | $ \frac{20}{27} $ |
| $ \frac{13}{7} \times \frac{14}{11} $ | $ \frac{26}{11} $ or $ 2\frac{4}{11} $ |
| $ \frac{10}{3} \times \frac{11}{6} $ | $ \frac{55}{9} $ or $ 6\frac{1}{9} $ |
| $ \frac{1}{2} \div \frac{1}{2} $ | $ 1 $ |
| $ \frac{14}{9} \times \frac{7}{10} $ | $ \frac{49}{45} $ or $ 1\frac{4}{45} $ |
| $ \frac{15}{8} \times \frac{7}{6} $ | $ \frac{35}{16} $ or $ 2\frac{3}{16} $ |
| $ \frac{3}{2} \times \frac{4}{9} $ | $ \frac{2}{3} $ |

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✔ Summary:

Even though the title says "Adding and Subtracting Fractions", the actual instruction is to multiply and divide. All problems have been solved accordingly using fraction multiplication and division rules.

Let me know if you'd like this in a printable format or with visual explanations!