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Simplify to Multiply - Multiplying Fractions Worksheet | Teach Starter - Free Printable

Simplify to Multiply - Multiplying Fractions Worksheet | Teach Starter

Educational worksheet: Simplify to Multiply - Multiplying Fractions Worksheet | Teach Starter. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Simplify to Multiply - Multiplying Fractions Worksheet | Teach Starter
It looks like you've uploaded a worksheet titled "Multiplying Fractions" with several problems involving the multiplication of two fractions. Since I can't view images directly, I’ll help you solve the problems based on what’s described in your text.

Here is the list of problems from the worksheet:

Left Column:


1. \( \frac{2}{5} \times \frac{1}{9} = \)
2. \( \frac{1}{2} \times \frac{1}{3} = \)
3. \( \frac{2}{3} \times \frac{1}{3} = \)
4. \( \frac{2}{3} \times \frac{1}{2} = \)
5. \( \frac{3}{4} \times \frac{2}{5} = \)
6. \( \frac{2}{3} \times \frac{1}{4} = \)
7. \( \frac{1}{2} \times \frac{2}{5} = \)

Right Column:


8. \( \frac{1}{3} \times \frac{1}{3} = \)
9. \( \frac{1}{3} \times \frac{1}{4} = \)
10. \( \frac{1}{2} \times \frac{1}{6} = \)
11. \( \frac{1}{4} \times \frac{1}{6} = \)
12. \( \frac{1}{2} \times \frac{1}{2} = \)
13. \( \frac{2}{3} \times \frac{1}{3} = \)
14. \( \frac{1}{2} \times \frac{1}{2} = \)

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How to Multiply Fractions:


To multiply two fractions:
- Multiply the numerators (top numbers).
- Multiply the denominators (bottom numbers).
- Simplify the result if possible.

Let’s solve each one step by step.

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Solutions:



1. \( \frac{2}{5} \times \frac{1}{9} = \frac{2 \times 1}{5 \times 9} = \frac{2}{45} \)

2. \( \frac{1}{2} \times \frac{1}{3} = \frac{1 \times 1}{2 \times 3} = \frac{1}{6} \)

3. \( \frac{2}{3} \times \frac{1}{3} = \frac{2 \times 1}{3 \times 3} = \frac{2}{9} \)

4. \( \frac{2}{3} \times \frac{1}{2} = \frac{2 \times 1}{3 \times 2} = \frac{2}{6} = \frac{1}{3} \) (simplified)

5. \( \frac{3}{4} \times \frac{2}{5} = \frac{3 \times 2}{4 \times 5} = \frac{6}{20} = \frac{3}{10} \) (simplified)

6. \( \frac{2}{3} \times \frac{1}{4} = \frac{2 \times 1}{3 \times 4} = \frac{2}{12} = \frac{1}{6} \) (simplified)

7. \( \frac{1}{2} \times \frac{2}{5} = \frac{1 \times 2}{2 \times 5} = \frac{2}{10} = \frac{1}{5} \) (simplified)

8. \( \frac{1}{3} \times \frac{1}{3} = \frac{1 \times 1}{3 \times 3} = \frac{1}{9} \)

9. \( \frac{1}{3} \times \frac{1}{4} = \frac{1 \times 1}{3 \times 4} = \frac{1}{12} \)

10. \( \frac{1}{2} \times \frac{1}{6} = \frac{1 \times 1}{2 \times 6} = \frac{1}{12} \)

11. \( \frac{1}{4} \times \frac{1}{6} = \frac{1 \times 1}{4 \times 6} = \frac{1}{24} \)

12. \( \frac{1}{2} \times \frac{1}{2} = \frac{1 \times 1}{2 \times 2} = \frac{1}{4} \)

13. \( \frac{2}{3} \times \frac{1}{3} = \frac{2 \times 1}{3 \times 3} = \frac{2}{9} \)

14. \( \frac{1}{2} \times \frac{1}{2} = \frac{1 \times 1}{2 \times 2} = \frac{1}{4} \)

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Final Answers:


1. \( \frac{2}{45} \)
2. \( \frac{1}{6} \)
3. \( \frac{2}{9} \)
4. \( \frac{1}{3} \)
5. \( \frac{3}{10} \)
6. \( \frac{1}{6} \)
7. \( \frac{1}{5} \)
8. \( \frac{1}{9} \)
9. \( \frac{1}{12} \)
10. \( \frac{1}{12} \)
11. \( \frac{1}{24} \)
12. \( \frac{1}{4} \)
13. \( \frac{2}{9} \)
14. \( \frac{1}{4} \)

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All answers are simplified where needed.

Let me know if you'd like this formatted as a printable answer key or want explanations for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of multiplying fractions worksheets.
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