Multiplying Fractions Math Worksheet - Twisty Noodle - Free Printable
Educational worksheet: Multiplying Fractions Math Worksheet - Twisty Noodle. Download and print for classroom or home learning activities.
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Step-by-step solution for: Multiplying Fractions Math Worksheet - Twisty Noodle
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying Fractions Math Worksheet - Twisty Noodle
To solve the given problems, we need to multiply the fractions step by step. The general rule for multiplying fractions is:
\[
\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}
\]
Let's solve each problem one by one.
1. \(\frac{1}{2} \times \frac{1}{2}\)
\[
\frac{1}{2} \times \frac{1}{2} = \frac{1 \times 1}{2 \times 2} = \frac{1}{4}
\]
2. \(\frac{1}{3} \times \frac{1}{2}\)
\[
\frac{1}{3} \times \frac{1}{2} = \frac{1 \times 1}{3 \times 2} = \frac{1}{6}
\]
3. \(\frac{1}{4} \times \frac{1}{2}\)
\[
\frac{1}{4} \times \frac{1}{2} = \frac{1 \times 1}{4 \times 2} = \frac{1}{8}
\]
4. \(\frac{3}{4} \times \frac{1}{5}\)
\[
\frac{3}{4} \times \frac{1}{5} = \frac{3 \times 1}{4 \times 5} = \frac{3}{20}
\]
5. \(\frac{3}{5} \times \frac{1}{2}\)
\[
\frac{3}{5} \times \frac{1}{2} = \frac{3 \times 1}{5 \times 2} = \frac{3}{10}
\]
6. \(\frac{1}{3} \times \frac{2}{3}\)
\[
\frac{1}{3} \times \frac{2}{3} = \frac{1 \times 2}{3 \times 3} = \frac{2}{9}
\]
7. \(\frac{1}{7} \times \frac{1}{2}\)
\[
\frac{1}{7} \times \frac{1}{2} = \frac{1 \times 1}{7 \times 2} = \frac{1}{14}
\]
8. \(\frac{2}{7} \times \frac{2}{5}\)
\[
\frac{2}{7} \times \frac{2}{5} = \frac{2 \times 2}{7 \times 5} = \frac{4}{35}
\]
9. \(\frac{2}{5} \times \frac{2}{7}\)
\[
\frac{2}{5} \times \frac{2}{7} = \frac{2 \times 2}{5 \times 7} = \frac{4}{35}
\]
10. \(\frac{1}{4} \times \frac{1}{4}\)
\[
\frac{1}{4} \times \frac{1}{4} = \frac{1 \times 1}{4 \times 4} = \frac{1}{16}
\]
11. \(\frac{3}{7} \times \frac{1}{2}\)
\[
\frac{3}{7} \times \frac{1}{2} = \frac{3 \times 1}{7 \times 2} = \frac{3}{14}
\]
12. \(\frac{1}{8} \times \frac{3}{4}\)
\[
\frac{1}{8} \times \frac{3}{4} = \frac{1 \times 3}{8 \times 4} = \frac{3}{32}
\]
13. \(\frac{5}{6} \times \frac{1}{3}\)
\[
\frac{5}{6} \times \frac{1}{3} = \frac{5 \times 1}{6 \times 3} = \frac{5}{18}
\]
14. \(\frac{3}{8} \times \frac{1}{2}\)
\[
\frac{3}{8} \times \frac{1}{2} = \frac{3 \times 1}{8 \times 2} = \frac{3}{16}
\]
\[
\boxed{
\begin{array}{|c|c|}
\hline
\frac{1}{2} \times \frac{1}{2} = \frac{1}{4} & \frac{1}{3} \times \frac{1}{2} = \frac{1}{6} \\
\hline
\frac{1}{4} \times \frac{1}{2} = \frac{1}{8} & \frac{3}{4} \times \frac{1}{5} = \frac{3}{20} \\
\hline
\frac{3}{5} \times \frac{1}{2} = \frac{3}{10} & \frac{1}{3} \times \frac{2}{3} = \frac{2}{9} \\
\hline
\frac{1}{7} \times \frac{1}{2} = \frac{1}{14} & \frac{2}{7} \times \frac{2}{5} = \frac{4}{35} \\
\hline
\frac{2}{5} \times \frac{2}{7} = \frac{4}{35} & \frac{1}{4} \times \frac{1}{4} = \frac{1}{16} \\
\hline
\frac{3}{7} \times \frac{1}{2} = \frac{3}{14} & \frac{1}{8} \times \frac{3}{4} = \frac{3}{32} \\
\hline
\frac{5}{6} \times \frac{1}{3} = \frac{5}{18} & \frac{3}{8} \times \frac{1}{2} = \frac{3}{16} \\
\hline
\end{array}
}
\]
\[
\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}
\]
Let's solve each problem one by one.
First Row:
1. \(\frac{1}{2} \times \frac{1}{2}\)
\[
\frac{1}{2} \times \frac{1}{2} = \frac{1 \times 1}{2 \times 2} = \frac{1}{4}
\]
2. \(\frac{1}{3} \times \frac{1}{2}\)
\[
\frac{1}{3} \times \frac{1}{2} = \frac{1 \times 1}{3 \times 2} = \frac{1}{6}
\]
Second Row:
3. \(\frac{1}{4} \times \frac{1}{2}\)
\[
\frac{1}{4} \times \frac{1}{2} = \frac{1 \times 1}{4 \times 2} = \frac{1}{8}
\]
4. \(\frac{3}{4} \times \frac{1}{5}\)
\[
\frac{3}{4} \times \frac{1}{5} = \frac{3 \times 1}{4 \times 5} = \frac{3}{20}
\]
Third Row:
5. \(\frac{3}{5} \times \frac{1}{2}\)
\[
\frac{3}{5} \times \frac{1}{2} = \frac{3 \times 1}{5 \times 2} = \frac{3}{10}
\]
6. \(\frac{1}{3} \times \frac{2}{3}\)
\[
\frac{1}{3} \times \frac{2}{3} = \frac{1 \times 2}{3 \times 3} = \frac{2}{9}
\]
Fourth Row:
7. \(\frac{1}{7} \times \frac{1}{2}\)
\[
\frac{1}{7} \times \frac{1}{2} = \frac{1 \times 1}{7 \times 2} = \frac{1}{14}
\]
8. \(\frac{2}{7} \times \frac{2}{5}\)
\[
\frac{2}{7} \times \frac{2}{5} = \frac{2 \times 2}{7 \times 5} = \frac{4}{35}
\]
Fifth Row:
9. \(\frac{2}{5} \times \frac{2}{7}\)
\[
\frac{2}{5} \times \frac{2}{7} = \frac{2 \times 2}{5 \times 7} = \frac{4}{35}
\]
10. \(\frac{1}{4} \times \frac{1}{4}\)
\[
\frac{1}{4} \times \frac{1}{4} = \frac{1 \times 1}{4 \times 4} = \frac{1}{16}
\]
Sixth Row:
11. \(\frac{3}{7} \times \frac{1}{2}\)
\[
\frac{3}{7} \times \frac{1}{2} = \frac{3 \times 1}{7 \times 2} = \frac{3}{14}
\]
12. \(\frac{1}{8} \times \frac{3}{4}\)
\[
\frac{1}{8} \times \frac{3}{4} = \frac{1 \times 3}{8 \times 4} = \frac{3}{32}
\]
Seventh Row:
13. \(\frac{5}{6} \times \frac{1}{3}\)
\[
\frac{5}{6} \times \frac{1}{3} = \frac{5 \times 1}{6 \times 3} = \frac{5}{18}
\]
14. \(\frac{3}{8} \times \frac{1}{2}\)
\[
\frac{3}{8} \times \frac{1}{2} = \frac{3 \times 1}{8 \times 2} = \frac{3}{16}
\]
Final Answer:
\[
\boxed{
\begin{array}{|c|c|}
\hline
\frac{1}{2} \times \frac{1}{2} = \frac{1}{4} & \frac{1}{3} \times \frac{1}{2} = \frac{1}{6} \\
\hline
\frac{1}{4} \times \frac{1}{2} = \frac{1}{8} & \frac{3}{4} \times \frac{1}{5} = \frac{3}{20} \\
\hline
\frac{3}{5} \times \frac{1}{2} = \frac{3}{10} & \frac{1}{3} \times \frac{2}{3} = \frac{2}{9} \\
\hline
\frac{1}{7} \times \frac{1}{2} = \frac{1}{14} & \frac{2}{7} \times \frac{2}{5} = \frac{4}{35} \\
\hline
\frac{2}{5} \times \frac{2}{7} = \frac{4}{35} & \frac{1}{4} \times \frac{1}{4} = \frac{1}{16} \\
\hline
\frac{3}{7} \times \frac{1}{2} = \frac{3}{14} & \frac{1}{8} \times \frac{3}{4} = \frac{3}{32} \\
\hline
\frac{5}{6} \times \frac{1}{3} = \frac{5}{18} & \frac{3}{8} \times \frac{1}{2} = \frac{3}{16} \\
\hline
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of multiplying fractions worksheet with answer key.
