Multiplying and Dividing Fractions Worksheet | 5th Grade PDF ... - Free Printable

Let's solve each problem step by step, following the instructions:

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Section A: Multiplying Fractions with Whole Numbers

Rule: Multiply the numerator of the fraction by the whole number. Keep the denominator the same. Simplify if possible.

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1) $ \frac{1}{4} \times 2 = \frac{1 \times 2}{4} = \frac{2}{4} = \frac{1}{2} $

2) $ \frac{1}{5} \times 3 = \frac{1 \times 3}{5} = \frac{3}{5} $

3) $ \frac{3}{7} \times 5 = \frac{3 \times 5}{7} = \frac{15}{7} $ (improper fraction — leave as is)

4) $ \frac{5}{7} \times 3 = \frac{5 \times 3}{7} = \frac{15}{7} $

5) $ \frac{7}{8} \times 10 = \frac{7 \times 10}{8} = \frac{70}{8} = \frac{35}{4} $ (simplified by dividing numerator and denominator by 2)

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

7) $ 3 \times \frac{7}{9} = \frac{3 \times 7}{9} = \frac{21}{9} = \frac{7}{3} $ (simplify by dividing numerator and denominator by 3)

8) $ 8 \times \frac{3}{12} = \frac{8 \times 3}{12} = \frac{24}{12} = 2 $

9) $ 5 \times \frac{9}{20} = \frac{5 \times 9}{20} = \frac{45}{20} = \frac{9}{4} $ (simplify by dividing by 5)

10) $ 12 \times \frac{11}{100} = \frac{12 \times 11}{100} = \frac{132}{100} = \frac{33}{25} $ (simplify by dividing by 4)

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✔ Section A Answers:

1) $ \frac{1}{2} $
2) $ \frac{3}{5} $
3) $ \frac{15}{7} $
4) $ \frac{15}{7} $
5) $ \frac{35}{4} $
6) $ \frac{12}{5} $
7) $ \frac{7}{3} $
8) $ 2 $
9) $ \frac{9}{4} $
10) $ \frac{33}{25} $

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Section B: Multiplying Two Fractions

Rule: Multiply numerators together and denominators together. Then simplify.

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1) $ \frac{2}{5} \times \frac{3}{7} = \frac{2 \times 3}{5 \times 7} = \frac{6}{35} $ → already simplified

2) $ \frac{4}{5} \times \frac{3}{10} = \frac{4 \times 3}{5 \times 10} = \frac{12}{50} = \frac{6}{25} $ (divide by 2)

3) $ \frac{2}{7} \times \frac{2}{9} = \frac{2 \times 2}{7 \times 9} = \frac{4}{63} $ → simplified

4) $ \frac{2}{9} \times \frac{6}{11} = \frac{2 \times 6}{9 \times 11} = \frac{12}{99} = \frac{4}{33} $ (divide by 3)

5) $ \frac{3}{8} \times \frac{7}{12} = \frac{3 \times 7}{8 \times 12} = \frac{21}{96} = \frac{7}{32} $ (divide by 3)

6) $ \frac{10}{12} \times \frac{7}{8} = \frac{10 \times 7}{12 \times 8} = \frac{70}{96} = \frac{35}{48} $ (divide by 2)

7) $ \frac{4}{5} \times \frac{3}{6} = \frac{4 \times 3}{5 \times 6} = \frac{12}{30} = \frac{2}{5} $ (divide by 6)

8) $ \frac{6}{12} \times \frac{3}{8} = \frac{6 \times 3}{12 \times 8} = \frac{18}{96} = \frac{3}{16} $ (divide by 6)

9) $ \frac{5}{11} \times \frac{3}{5} = \frac{5 \times 3}{11 \times 5} = \frac{15}{55} = \frac{3}{11} $ (divide by 5)

10) $ \frac{21}{100} \times \frac{2}{50} = \frac{21 \times 2}{100 \times 50} = \frac{42}{5000} = \frac{21}{2500} $ (divide by 2)

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✔ Section B Answers:

1) $ \frac{6}{35} $
2) $ \frac{6}{25} $
3) $ \frac{4}{63} $
4) $ \frac{4}{33} $
5) $ \frac{7}{32} $
6) $ \frac{35}{48} $
7) $ \frac{2}{5} $
8) $ \frac{3}{16} $
9) $ \frac{3}{11} $
10) $ \frac{21}{2500} $

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🔍 Summary of Key Concepts Used:

- Multiplying a fraction by a whole number: Treat the whole number as a fraction over 1.
- Multiplying two fractions: Multiply numerators and denominators.
- Simplifying: Reduce fractions by dividing numerator and denominator by their GCF.
- Improper fractions: Allowed unless specified otherwise.

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✔ All answers are simplified and in improper fraction form where needed.

Let me know if you'd like these shown in mixed numbers or visual models!