Multiplying Fractions Color by Number Activity - Free Printable
Educational worksheet: Multiplying Fractions Color by Number Activity. Download and print for classroom or home learning activities.
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Step-by-step solution for: Multiplying Fractions Color by Number Activity
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying Fractions Color by Number Activity
Let’s solve each fraction multiplication problem one by one. Remember: to multiply fractions, you multiply the numerators (top numbers) together and the denominators (bottom numbers) together. Then simplify if possible.
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1) $\frac{1}{2} \times \frac{2}{5}$
Numerator: $1 \times 2 = 2$
Denominator: $2 \times 5 = 10$
→ $\frac{2}{10}$ → Simplify: divide top and bottom by 2 → $\frac{1}{5}$
Color: Black
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2) $\frac{1}{2} \times \frac{3}{4}$
Numerator: $1 \times 3 = 3$
Denominator: $2 \times 4 = 8$
→ $\frac{3}{8}$ (already simplified)
Color: Purple
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3) $\frac{1}{4} \times \frac{3}{5}$
Numerator: $1 \times 3 = 3$
Denominator: $4 \times 5 = 20$
→ $\frac{3}{20}$ (already simplified)
Color: Light Green
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4) $\frac{1}{3} \times \frac{1}{3}$
Numerator: $1 \times 1 = 1$
Denominator: $3 \times 3 = 9$
→ $\frac{1}{9}$
Color: Dark Green
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5) $\frac{5}{6} \times \frac{1}{2}$
Numerator: $5 \times 1 = 5$
Denominator: $6 \times 2 = 12$
→ $\frac{5}{12}$ (already simplified)
Color: Pink
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6) $\frac{3}{4} \times \frac{1}{4}$
Numerator: $3 \times 1 = 3$
Denominator: $4 \times 4 = 16$
→ $\frac{3}{16}$
Color: Yellow
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7) $\frac{2}{3} \times \frac{1}{7}$
Numerator: $2 \times 1 = 2$
Denominator: $3 \times 7 = 21$
→ $\frac{2}{21}$
Color: Light Blue
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8) $\frac{5}{8} \times \frac{1}{3}$
Numerator: $5 \times 1 = 5$
Denominator: $8 \times 3 = 24$
→ $\frac{5}{24}$
Color: Dark Blue
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9) $\frac{2}{3} \times \frac{1}{2}$
Numerator: $2 \times 1 = 2$
Denominator: $3 \times 2 = 6$
→ $\frac{2}{6}$ → Simplify: divide by 2 → $\frac{1}{3}$
Color: White
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10) $\frac{1}{3} \times \frac{3}{4}$
Numerator: $1 \times 3 = 3$
Denominator: $3 \times 4 = 12$
→ $\frac{3}{12}$ → Simplify: divide by 3 → $\frac{1}{4}$
Color: Orange
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11) $\frac{3}{5} \times \frac{1}{5}$
Numerator: $3 \times 1 = 3$
Denominator: $5 \times 5 = 25$
→ $\frac{3}{25}$
Color: Dark Brown
---
12) $\frac{2}{5} \times \frac{1}{4}$
Numerator: $2 \times 1 = 2$
Denominator: $5 \times 4 = 20$
→ $\frac{2}{20}$ → Simplify: divide by 2 → $\frac{1}{10}$
Color: Red
---
13) $\frac{2}{7} \times \frac{3}{4}$
Numerator: $2 \times 3 = 6$
Denominator: $7 \times 4 = 28$
→ $\frac{6}{28}$ → Simplify: divide by 2 → $\frac{3}{14}$
Color: Black
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14) $\frac{5}{7} \times \frac{1}{10}$
Numerator: $5 \times 1 = 5$
Denominator: $7 \times 10 = 70$
→ $\frac{5}{70}$ → Simplify: divide by 5 → $\frac{1}{14}$
Color: Light Brown
---
15) $\frac{7}{12} \times \frac{2}{3}$
Numerator: $7 \times 2 = 14$
Denominator: $12 \times 3 = 36$
→ $\frac{14}{36}$ → Simplify: divide by 2 → $\frac{7}{18}$
Color: Grey
---
Final Answer:
1) $\frac{1}{5}$ — Black
2) $\frac{3}{8}$ — Purple
3) $\frac{3}{20}$ — Light Green
4) $\frac{1}{9}$ — Dark Green
5) $\frac{5}{12}$ — Pink
6) $\frac{3}{16}$ — Yellow
7) $\frac{2}{21}$ — Light Blue
8) $\frac{5}{24}$ — Dark Blue
9) $\frac{1}{3}$ — White
10) $\frac{1}{4}$ — Orange
11) $\frac{3}{25}$ — Dark Brown
12) $\frac{1}{10}$ — Red
13) $\frac{3}{14}$ — Black
14) $\frac{1}{14}$ — Light Brown
15) $\frac{7}{18}$ — Grey
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1) $\frac{1}{2} \times \frac{2}{5}$
Numerator: $1 \times 2 = 2$
Denominator: $2 \times 5 = 10$
→ $\frac{2}{10}$ → Simplify: divide top and bottom by 2 → $\frac{1}{5}$
Color: Black
---
2) $\frac{1}{2} \times \frac{3}{4}$
Numerator: $1 \times 3 = 3$
Denominator: $2 \times 4 = 8$
→ $\frac{3}{8}$ (already simplified)
Color: Purple
---
3) $\frac{1}{4} \times \frac{3}{5}$
Numerator: $1 \times 3 = 3$
Denominator: $4 \times 5 = 20$
→ $\frac{3}{20}$ (already simplified)
Color: Light Green
---
4) $\frac{1}{3} \times \frac{1}{3}$
Numerator: $1 \times 1 = 1$
Denominator: $3 \times 3 = 9$
→ $\frac{1}{9}$
Color: Dark Green
---
5) $\frac{5}{6} \times \frac{1}{2}$
Numerator: $5 \times 1 = 5$
Denominator: $6 \times 2 = 12$
→ $\frac{5}{12}$ (already simplified)
Color: Pink
---
6) $\frac{3}{4} \times \frac{1}{4}$
Numerator: $3 \times 1 = 3$
Denominator: $4 \times 4 = 16$
→ $\frac{3}{16}$
Color: Yellow
---
7) $\frac{2}{3} \times \frac{1}{7}$
Numerator: $2 \times 1 = 2$
Denominator: $3 \times 7 = 21$
→ $\frac{2}{21}$
Color: Light Blue
---
8) $\frac{5}{8} \times \frac{1}{3}$
Numerator: $5 \times 1 = 5$
Denominator: $8 \times 3 = 24$
→ $\frac{5}{24}$
Color: Dark Blue
---
9) $\frac{2}{3} \times \frac{1}{2}$
Numerator: $2 \times 1 = 2$
Denominator: $3 \times 2 = 6$
→ $\frac{2}{6}$ → Simplify: divide by 2 → $\frac{1}{3}$
Color: White
---
10) $\frac{1}{3} \times \frac{3}{4}$
Numerator: $1 \times 3 = 3$
Denominator: $3 \times 4 = 12$
→ $\frac{3}{12}$ → Simplify: divide by 3 → $\frac{1}{4}$
Color: Orange
---
11) $\frac{3}{5} \times \frac{1}{5}$
Numerator: $3 \times 1 = 3$
Denominator: $5 \times 5 = 25$
→ $\frac{3}{25}$
Color: Dark Brown
---
12) $\frac{2}{5} \times \frac{1}{4}$
Numerator: $2 \times 1 = 2$
Denominator: $5 \times 4 = 20$
→ $\frac{2}{20}$ → Simplify: divide by 2 → $\frac{1}{10}$
Color: Red
---
13) $\frac{2}{7} \times \frac{3}{4}$
Numerator: $2 \times 3 = 6$
Denominator: $7 \times 4 = 28$
→ $\frac{6}{28}$ → Simplify: divide by 2 → $\frac{3}{14}$
Color: Black
---
14) $\frac{5}{7} \times \frac{1}{10}$
Numerator: $5 \times 1 = 5$
Denominator: $7 \times 10 = 70$
→ $\frac{5}{70}$ → Simplify: divide by 5 → $\frac{1}{14}$
Color: Light Brown
---
15) $\frac{7}{12} \times \frac{2}{3}$
Numerator: $7 \times 2 = 14$
Denominator: $12 \times 3 = 36$
→ $\frac{14}{36}$ → Simplify: divide by 2 → $\frac{7}{18}$
Color: Grey
---
Final Answer:
1) $\frac{1}{5}$ — Black
2) $\frac{3}{8}$ — Purple
3) $\frac{3}{20}$ — Light Green
4) $\frac{1}{9}$ — Dark Green
5) $\frac{5}{12}$ — Pink
6) $\frac{3}{16}$ — Yellow
7) $\frac{2}{21}$ — Light Blue
8) $\frac{5}{24}$ — Dark Blue
9) $\frac{1}{3}$ — White
10) $\frac{1}{4}$ — Orange
11) $\frac{3}{25}$ — Dark Brown
12) $\frac{1}{10}$ — Red
13) $\frac{3}{14}$ — Black
14) $\frac{1}{14}$ — Light Brown
15) $\frac{7}{18}$ — Grey
Parent Tip: Review the logic above to help your child master the concept of multiplying and dividing fractions coloring pages.