Multiplying Fractions Worksheets | Download Free Printables For Kids - Free Printable
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Step-by-step solution for: Multiplying Fractions Worksheets | Download Free Printables For Kids
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying Fractions Worksheets | Download Free Printables For Kids
To solve the problems in the "Multiplying Fractions Worksheets," we need to multiply the numerators together and the denominators together for each fraction multiplication problem. Let's go through each problem step by step.
1. $\frac{3}{5} \times \frac{5}{7}$
- Multiply the numerators: $3 \times 5 = 15$
- Multiply the denominators: $5 \times 7 = 35$
- Simplify if possible: $\frac{15}{35} = \frac{3}{7}$ (dividing both numerator and denominator by 5)
- Answer: $\frac{3}{7}$
2. $\frac{1}{4} \times \frac{1}{7}$
- Multiply the numerators: $1 \times 1 = 1$
- Multiply the denominators: $4 \times 7 = 28$
- Simplify if possible: $\frac{1}{28}$ (already in simplest form)
- Answer: $\frac{1}{28}$
3. $\frac{2}{7} \times \frac{3}{5}$
- Multiply the numerators: $2 \times 3 = 6$
- Multiply the denominators: $7 \times 5 = 35$
- Simplify if possible: $\frac{6}{35}$ (already in simplest form)
- Answer: $\frac{6}{35}$
4. $\frac{3}{7} \times \frac{7}{9}$
- Multiply the numerators: $3 \times 7 = 21$
- Multiply the denominators: $7 \times 9 = 63$
- Simplify if possible: $\frac{21}{63} = \frac{1}{3}$ (dividing both numerator and denominator by 21)
- Answer: $\frac{1}{3}$
5. $\frac{5}{6} \times \frac{3}{4}$
- Multiply the numerators: $5 \times 3 = 15$
- Multiply the denominators: $6 \times 4 = 24$
- Simplify if possible: $\frac{15}{24} = \frac{5}{8}$ (dividing both numerator and denominator by 3)
- Answer: $\frac{5}{8}$
1. $\frac{4}{5} \times \frac{6}{8}$
- Multiply the numerators: $4 \times 6 = 24$
- Multiply the denominators: $5 \times 8 = 40$
- Simplify if possible: $\frac{24}{40} = \frac{3}{5}$ (dividing both numerator and denominator by 8)
- Answer: $\frac{3}{5}$
2. $\frac{4}{5} \times \frac{7}{10}$
- Multiply the numerators: $4 \times 7 = 28$
- Multiply the denominators: $5 \times 10 = 50$
- Simplify if possible: $\frac{28}{50} = \frac{14}{25}$ (dividing both numerator and denominator by 2)
- Answer: $\frac{14}{25}$
3. $\frac{1}{7} \times \frac{8}{9}$
- Multiply the numerators: $1 \times 8 = 8$
- Multiply the denominators: $7 \times 9 = 63$
- Simplify if possible: $\frac{8}{63}$ (already in simplest form)
- Answer: $\frac{8}{63}$
4. $\frac{3}{8} \times \frac{1}{2}$
- Multiply the numerators: $3 \times 1 = 3$
- Multiply the denominators: $8 \times 2 = 16$
- Simplify if possible: $\frac{3}{16}$ (already in simplest form)
- Answer: $\frac{3}{16}$
5. $\frac{2}{3} \times \frac{6}{9}$
- Multiply the numerators: $2 \times 6 = 12$
- Multiply the denominators: $3 \times 9 = 27$
- Simplify if possible: $\frac{12}{27} = \frac{4}{9}$ (dividing both numerator and denominator by 3)
- Answer: $\frac{4}{9}$
- $\frac{3}{5} \times \frac{5}{7} = \frac{3}{7}$
- $\frac{1}{4} \times \frac{1}{7} = \frac{1}{28}$
- $\frac{2}{7} \times \frac{3}{5} = \frac{6}{35}$
- $\frac{3}{7} \times \frac{7}{9} = \frac{1}{3}$
- $\frac{5}{6} \times \frac{3}{4} = \frac{5}{8}$
- $\frac{4}{5} \times \frac{6}{8} = \frac{3}{5}$
- $\frac{4}{5} \times \frac{7}{10} = \frac{14}{25}$
- $\frac{1}{7} \times \frac{8}{9} = \frac{8}{63}$
- $\frac{3}{8} \times \frac{1}{2} = \frac{3}{16}$
- $\frac{2}{3} \times \frac{6}{9} = \frac{4}{9}$
$$
\boxed{
\begin{aligned}
&\frac{3}{7}, \frac{1}{28}, \frac{6}{35}, \frac{1}{3}, \frac{5}{8}, \\
&\frac{3}{5}, \frac{14}{25}, \frac{8}{63}, \frac{3}{16}, \frac{4}{9}
\end{aligned}
}
$$
Left Column
1. $\frac{3}{5} \times \frac{5}{7}$
- Multiply the numerators: $3 \times 5 = 15$
- Multiply the denominators: $5 \times 7 = 35$
- Simplify if possible: $\frac{15}{35} = \frac{3}{7}$ (dividing both numerator and denominator by 5)
- Answer: $\frac{3}{7}$
2. $\frac{1}{4} \times \frac{1}{7}$
- Multiply the numerators: $1 \times 1 = 1$
- Multiply the denominators: $4 \times 7 = 28$
- Simplify if possible: $\frac{1}{28}$ (already in simplest form)
- Answer: $\frac{1}{28}$
3. $\frac{2}{7} \times \frac{3}{5}$
- Multiply the numerators: $2 \times 3 = 6$
- Multiply the denominators: $7 \times 5 = 35$
- Simplify if possible: $\frac{6}{35}$ (already in simplest form)
- Answer: $\frac{6}{35}$
4. $\frac{3}{7} \times \frac{7}{9}$
- Multiply the numerators: $3 \times 7 = 21$
- Multiply the denominators: $7 \times 9 = 63$
- Simplify if possible: $\frac{21}{63} = \frac{1}{3}$ (dividing both numerator and denominator by 21)
- Answer: $\frac{1}{3}$
5. $\frac{5}{6} \times \frac{3}{4}$
- Multiply the numerators: $5 \times 3 = 15$
- Multiply the denominators: $6 \times 4 = 24$
- Simplify if possible: $\frac{15}{24} = \frac{5}{8}$ (dividing both numerator and denominator by 3)
- Answer: $\frac{5}{8}$
Right Column
1. $\frac{4}{5} \times \frac{6}{8}$
- Multiply the numerators: $4 \times 6 = 24$
- Multiply the denominators: $5 \times 8 = 40$
- Simplify if possible: $\frac{24}{40} = \frac{3}{5}$ (dividing both numerator and denominator by 8)
- Answer: $\frac{3}{5}$
2. $\frac{4}{5} \times \frac{7}{10}$
- Multiply the numerators: $4 \times 7 = 28$
- Multiply the denominators: $5 \times 10 = 50$
- Simplify if possible: $\frac{28}{50} = \frac{14}{25}$ (dividing both numerator and denominator by 2)
- Answer: $\frac{14}{25}$
3. $\frac{1}{7} \times \frac{8}{9}$
- Multiply the numerators: $1 \times 8 = 8$
- Multiply the denominators: $7 \times 9 = 63$
- Simplify if possible: $\frac{8}{63}$ (already in simplest form)
- Answer: $\frac{8}{63}$
4. $\frac{3}{8} \times \frac{1}{2}$
- Multiply the numerators: $3 \times 1 = 3$
- Multiply the denominators: $8 \times 2 = 16$
- Simplify if possible: $\frac{3}{16}$ (already in simplest form)
- Answer: $\frac{3}{16}$
5. $\frac{2}{3} \times \frac{6}{9}$
- Multiply the numerators: $2 \times 6 = 12$
- Multiply the denominators: $3 \times 9 = 27$
- Simplify if possible: $\frac{12}{27} = \frac{4}{9}$ (dividing both numerator and denominator by 3)
- Answer: $\frac{4}{9}$
Final Answers
- $\frac{3}{5} \times \frac{5}{7} = \frac{3}{7}$
- $\frac{1}{4} \times \frac{1}{7} = \frac{1}{28}$
- $\frac{2}{7} \times \frac{3}{5} = \frac{6}{35}$
- $\frac{3}{7} \times \frac{7}{9} = \frac{1}{3}$
- $\frac{5}{6} \times \frac{3}{4} = \frac{5}{8}$
- $\frac{4}{5} \times \frac{6}{8} = \frac{3}{5}$
- $\frac{4}{5} \times \frac{7}{10} = \frac{14}{25}$
- $\frac{1}{7} \times \frac{8}{9} = \frac{8}{63}$
- $\frac{3}{8} \times \frac{1}{2} = \frac{3}{16}$
- $\frac{2}{3} \times \frac{6}{9} = \frac{4}{9}$
Boxed Final Answer
$$
\boxed{
\begin{aligned}
&\frac{3}{7}, \frac{1}{28}, \frac{6}{35}, \frac{1}{3}, \frac{5}{8}, \\
&\frac{3}{5}, \frac{14}{25}, \frac{8}{63}, \frac{3}{16}, \frac{4}{9}
\end{aligned}
}
$$
Parent Tip: Review the logic above to help your child master the concept of multiplication fractions worksheet.