Problem: Solve the given problems involving multiplication and division of fractions.
The worksheet is divided into two columns:
1.
Multiplication of Fractions
2.
Division of Fractions
Let's solve each problem step by step.
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Column 1: Multiplication of Fractions
1.
Problem: $\frac{2}{3} \times \frac{2}{2}$
- Simplify $\frac{2}{2}$ to $1$.
- Multiply: $\frac{2}{3} \times 1 = \frac{2}{3}$.
Answer: $\frac{2}{3}$
2.
Problem: $\frac{6}{7} \times \frac{3}{3}$
- Simplify $\frac{3}{3}$ to $1$.
- Multiply: $\frac{6}{7} \times 1 = \frac{6}{7}$.
Answer: $\frac{6}{7}$
3.
Problem: $\frac{4}{9} \times \frac{5}{5}$
- Simplify $\frac{5}{5}$ to $1$.
- Multiply: $\frac{4}{9} \times 1 = \frac{4}{9}$.
Answer: $\frac{4}{9}$
4.
Problem: $\frac{3}{5} \times \frac{4}{4}$
- Simplify $\frac{4}{4}$ to $1$.
- Multiply: $\frac{3}{5} \times 1 = \frac{3}{5}$.
Answer: $\frac{3}{5}$
5.
Problem: $\frac{6}{7} \times \frac{2}{2}$
- Simplify $\frac{2}{2}$ to $1$.
- Multiply: $\frac{6}{7} \times 1 = \frac{6}{7}$.
Answer: $\frac{6}{7}$
---
####
Column 2: Division of Fractions
1.
Problem: $\frac{14}{22} \div \frac{2}{2}$
- Simplify $\frac{2}{2}$ to $1$.
- Dividing by $1$ leaves the fraction unchanged: $\frac{14}{22}$.
- Simplify $\frac{14}{22}$ by dividing both numerator and denominator by their greatest common divisor (GCD), which is $2$: $\frac{14 \div 2}{22 \div 2} = \frac{7}{11}$.
Answer: $\frac{7}{11}$
2.
Problem: $\frac{12}{20} \div \frac{4}{4}$
- Simplify $\frac{4}{4}$ to $1$.
- Dividing by $1$ leaves the fraction unchanged: $\frac{12}{20}$.
- Simplify $\frac{12}{20}$ by dividing both numerator and denominator by their GCD, which is $4$: $\frac{12 \div 4}{20 \div 4} = \frac{3}{5}$.
Answer: $\frac{3}{5}$
3.
Problem: $\frac{21}{24} \div \frac{3}{3}$
- Simplify $\frac{3}{3}$ to $1$.
- Dividing by $1$ leaves the fraction unchanged: $\frac{21}{24}$.
- Simplify $\frac{21}{24}$ by dividing both numerator and denominator by their GCD, which is $3$: $\frac{21 \div 3}{24 \div 3} = \frac{7}{8}$.
Answer: $\frac{7}{8}$
4.
Problem: $\frac{24}{36} \div \frac{6}{6}$
- Simplify $\frac{6}{6}$ to $1$.
- Dividing by $1$ leaves the fraction unchanged: $\frac{24}{36}$.
- Simplify $\frac{24}{36}$ by dividing both numerator and denominator by their GCD, which is $12$: $\frac{24 \div 12}{36 \div 12} = \frac{2}{3}$.
Answer: $\frac{2}{3}$
5.
Problem: $\frac{15}{20} \div \frac{5}{5}$
- Simplify $\frac{5}{5}$ to $1$.
- Dividing by $1$ leaves the fraction unchanged: $\frac{15}{20}$.
- Simplify $\frac{15}{20}$ by dividing both numerator and denominator by their GCD, which is $5$: $\frac{15 \div 5}{20 \div 5} = \frac{3}{4}$.
Answer: $\frac{3}{4}$
---
Final Answers:
\[
\boxed{
\begin{array}{cc}
\frac{2}{3} & \frac{7}{11} \\
\frac{6}{7} & \frac{3}{5} \\
\frac{4}{9} & \frac{7}{8} \\
\frac{3}{5} & \frac{2}{3} \\
\frac{6}{7} & \frac{3}{4} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of maht worksheets.
