Multiplying and Dividing Fractions - Free Printable

It looks like the title says "Adding and Subtracting Fractions," but the instructions say: "Multiply and divide the fractions." So we'll follow the instructions — we need to multiply or divide the given fractions.

Let’s solve each problem step by step.

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1. Multiplication and Division of Fractions

#### Rule Reminder:
- Multiplication: Multiply numerators together, multiply denominators together.
$$
\frac{a}{b} \times \frac{c}{d} = \frac{a \cdot c}{b \cdot d}
$$
- Division: Multiply by the reciprocal of the second fraction.
$$
\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}
$$

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Now let's go through each one:

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Column 1

1. $ \frac{1}{2} \times \frac{5}{4} = \frac{1 \cdot 5}{2 \cdot 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} $ (simplified)

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{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} $)

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

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

Simplify: divide numerator and denominator by 7:
$$
\frac{182 \div 7}{77 \div 7} = \frac{26}{11} = 2\frac{4}{11}
$$

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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} $)

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} $)

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

15. $ \frac{3}{2} \times \frac{4}{9} = \frac{12}{18} = \frac{2}{3} $

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✔ Final Answers (in order):

1. $ \frac{5}{8} $
2. $ \frac{11}{48} $
3. $ \frac{3}{13} $
4. $ \frac{13}{2} $
5. $ \frac{85}{18} $
6. $ \frac{5}{12} $
7. $ 11 $
8. $ \frac{16}{11} $
9. $ \frac{20}{27} $
10. $ \frac{26}{11} $
11. $ \frac{55}{9} $
12. $ 1 $
13. $ \frac{49}{45} $
14. $ \frac{35}{16} $
15. $ \frac{2}{3} $

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📝 Summary:

All problems were multiplication or division of fractions. We applied the rules correctly and simplified where needed.

Let me know if you'd like a printed version or explanation for any specific problem!