Math practice worksheet featuring fraction multiplication problems.
Educational worksheet: 5th Grade Math Worksheets with Answers: Multiplying Fractions. Download and print for classroom or home learning activities.
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Step-by-step solution for: 5th Grade Math Worksheets with Answers: Multiplying Fractions
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Show Answer Key & Explanations
Step-by-step solution for: 5th Grade Math Worksheets with Answers: Multiplying Fractions
Problem Description:
The task is to solve a series of multiplication problems involving whole numbers and fractions. Each problem involves multiplying a whole number by a fraction. The goal is to compute the results accurately.
Solution Approach:
1. Understand the Multiplication of Fractions:
- When multiplying a whole number by a fraction, treat the whole number as a fraction with a denominator of 1.
- Multiply the numerators together and the denominators together.
- Simplify the resulting fraction if possible.
2. Solve Each Problem Step-by-Step:
- For each problem, follow the steps above to compute the result.
Step-by-Step Solutions:
#### Row 1:
1. $ 6 \times \frac{2}{3} $
- Convert 6 to a fraction: $ 6 = \frac{6}{1} $.
- Multiply: $ \frac{6}{1} \times \frac{2}{3} = \frac{6 \times 2}{1 \times 3} = \frac{12}{3} $.
- Simplify: $ \frac{12}{3} = 4 $.
- Answer: $ 4 $.
2. $ 5 \times \frac{8}{10} $
- Convert 5 to a fraction: $ 5 = \frac{5}{1} $.
- Multiply: $ \frac{5}{1} \times \frac{8}{10} = \frac{5 \times 8}{1 \times 10} = \frac{40}{10} $.
- Simplify: $ \frac{40}{10} = 4 $.
- Answer: $ 4 $.
3. $ 4 \times \frac{2}{7} $
- Convert 4 to a fraction: $ 4 = \frac{4}{1} $.
- Multiply: $ \frac{4}{1} \times \frac{2}{7} = \frac{4 \times 2}{1 \times 7} = \frac{8}{7} $.
- Simplify: $ \frac{8}{7} $ (already in simplest form).
- Answer: $ \frac{8}{7} $.
#### Row 2:
4. $ 2 \times \frac{1}{3} $
- Convert 2 to a fraction: $ 2 = \frac{2}{1} $.
- Multiply: $ \frac{2}{1} \times \frac{1}{3} = \frac{2 \times 1}{1 \times 3} = \frac{2}{3} $.
- Simplify: $ \frac{2}{3} $ (already in simplest form).
- Answer: $ \frac{2}{3} $.
5. $ 3 \times \frac{3}{8} $
- Convert 3 to a fraction: $ 3 = \frac{3}{1} $.
- Multiply: $ \frac{3}{1} \times \frac{3}{8} = \frac{3 \times 3}{1 \times 8} = \frac{9}{8} $.
- Simplify: $ \frac{9}{8} $ (already in simplest form).
- Answer: $ \frac{9}{8} $.
6. $ 8 \times \frac{4}{6} $
- Convert 8 to a fraction: $ 8 = \frac{8}{1} $.
- Multiply: $ \frac{8}{1} \times \frac{4}{6} = \frac{8 \times 4}{1 \times 6} = \frac{32}{6} $.
- Simplify: $ \frac{32}{6} = \frac{16}{3} $.
- Answer: $ \frac{16}{3} $.
#### Row 3:
7. $ 9 \times \frac{1}{2} $
- Convert 9 to a fraction: $ 9 = \frac{9}{1} $.
- Multiply: $ \frac{9}{1} \times \frac{1}{2} = \frac{9 \times 1}{1 \times 2} = \frac{9}{2} $.
- Simplify: $ \frac{9}{2} $ (already in simplest form).
- Answer: $ \frac{9}{2} $.
8. $ 10 \times \frac{4}{5} $
- Convert 10 to a fraction: $ 10 = \frac{10}{1} $.
- Multiply: $ \frac{10}{1} \times \frac{4}{5} = \frac{10 \times 4}{1 \times 5} = \frac{40}{5} $.
- Simplify: $ \frac{40}{5} = 8 $.
- Answer: $ 8 $.
9. $ 6 \times \frac{2}{8} $
- Convert 6 to a fraction: $ 6 = \frac{6}{1} $.
- Multiply: $ \frac{6}{1} \times \frac{2}{8} = \frac{6 \times 2}{1 \times 8} = \frac{12}{8} $.
- Simplify: $ \frac{12}{8} = \frac{3}{2} $.
- Answer: $ \frac{3}{2} $.
#### Row 4:
10. $ 3 \times \frac{2}{5} $
- Convert 3 to a fraction: $ 3 = \frac{3}{1} $.
- Multiply: $ \frac{3}{1} \times \frac{2}{5} = \frac{3 \times 2}{1 \times 5} = \frac{6}{5} $.
- Simplify: $ \frac{6}{5} $ (already in simplest form).
- Answer: $ \frac{6}{5} $.
11. $ 7 \times \frac{1}{4} $
- Convert 7 to a fraction: $ 7 = \frac{7}{1} $.
- Multiply: $ \frac{7}{1} \times \frac{1}{4} = \frac{7 \times 1}{1 \times 4} = \frac{7}{4} $.
- Simplify: $ \frac{7}{4} $ (already in simplest form).
- Answer: $ \frac{7}{4} $.
12. $ 5 \times \frac{2}{3} $
- Convert 5 to a fraction: $ 5 = \frac{5}{1} $.
- Multiply: $ \frac{5}{1} \times \frac{2}{3} = \frac{5 \times 2}{1 \times 3} = \frac{10}{3} $.
- Simplify: $ \frac{10}{3} $ (already in simplest form).
- Answer: $ \frac{10}{3} $.
#### Row 5:
13. $ 10 \times \frac{3}{5} $
- Convert 10 to a fraction: $ 10 = \frac{10}{1} $.
- Multiply: $ \frac{10}{1} \times \frac{3}{5} = \frac{10 \times 3}{1 \times 5} = \frac{30}{5} $.
- Simplify: $ \frac{30}{5} = 6 $.
- Answer: $ 6 $.
14. $ 4 \times \frac{3}{6} $
- Convert 4 to a fraction: $ 4 = \frac{4}{1} $.
- Multiply: $ \frac{4}{1} \times \frac{3}{6} = \frac{4 \times 3}{1 \times 6} = \frac{12}{6} $.
- Simplify: $ \frac{12}{6} = 2 $.
- Answer: $ 2 $.
15. $ 9 \times \frac{2}{4} $
- Convert 9 to a fraction: $ 9 = \frac{9}{1} $.
- Multiply: $ \frac{9}{1} \times \frac{2}{4} = \frac{9 \times 2}{1 \times 4} = \frac{18}{4} $.
- Simplify: $ \frac{18}{4} = \frac{9}{2} $.
- Answer: $ \frac{9}{2} $.
Final Answers:
\[
\begin{array}{|c|c|c|}
\hline
4 & 4 & \frac{8}{7} \\
\hline
\frac{2}{3} & \frac{9}{8} & \frac{16}{3} \\
\hline
\frac{9}{2} & 8 & \frac{3}{2} \\
\hline
\frac{6}{5} & \frac{7}{4} & \frac{10}{3} \\
\hline
6 & 2 & \frac{9}{2} \\
\hline
\end{array}
\]
Boxed Final Answer:
\[
\boxed{
\begin{array}{|c|c|c|}
\hline
4 & 4 & \frac{8}{7} \\
\hline
\frac{2}{3} & \frac{9}{8} & \frac{16}{3} \\
\hline
\frac{9}{2} & 8 & \frac{3}{2} \\
\hline
\frac{6}{5} & \frac{7}{4} & \frac{10}{3} \\
\hline
6 & 2 & \frac{9}{2} \\
\hline
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of multiplying fractions by whole numbers worksheets.