Fractions Multiplication Division Worksheet
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Fractions Multiplication Division Worksheet
📚 Part 1: Formulas and Examples
Formula: a/b × c/d = (a × c)/(b × d)
Example: 2/3 × 1/4 = (2 × 1)/(3 × 4) = 2/12 = 1/6
Formula: a/b × c = (a × c)/b
Example: 3/5 × 4 = (3 × 4)/5 = 12/5 = 2 2/5
Formula: a/b ÷ c/d = a/b × d/c = (a × d)/(b × c)
Example: 3/4 ÷ 2/5 = 3/4 × 5/2 = (3 × 5)/(4 × 2) = 15/8 = 1 7/8
Formula: a/b ÷ c = a/b × 1/c = a/(b × c)
Example: 4/7 ÷ 3 = 4/7 × 1/3 = 4/(7 × 3) = 4/21
🔢 Part 2: Multiplication Problems
➗ Part 3: Division Problems
📝 Part 4: Word Problems
✅ Part 5: Multiple Choice
📋 Answer Sheet
1. 2/5 × 3/7 = 6/35
2. 1/3 × 4/9 = 4/27
3. 3/8 × 6 = 18/8 = 2 1/4
4. 5 × 2/15 = 10/15 = 2/3
5. 4/5 × 1/2 × 3/4 = 12/40 = 3/10
6. 3/4 ÷ 2/5 = 3/4 × 5/2 = 15/8 = 1 7/8
7. 5/6 ÷ 1/3 = 5/6 × 3/1 = 15/6 = 2 1/2
8. 7/8 ÷ 4 = 7/8 × 1/4 = 7/32
9. 6 ÷ 3/5 = 6 × 5/3 = 30/3 = 10
10. 2/3 ÷ 4/9 = 2/3 × 9/4 = 18/12 = 3/2 = 1 1/2
11. 3/4 ÷ 3 = 3/4 × 1/3 = 3/12 = 1/4 of the chocolate bar each
12. 2/3 × 4 = 8/3 = 2 2/3 cups of flour
13. 5/8 ÷ 1/4 = 5/8 × 4/1 = 20/8 = 2 1/2 pieces
14. 2/5 × 5 = 10/5 = 2 kilometres per week
15. Pizza left = 1 - 3/8 - 1/4 = 1 - 3/8 - 2/8 = 1 - 5/8 = 3/8 of the pizza
16. 3/8 (first option)
17. 4 (second option)
18. Dividing fractions (fourth option)
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