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NMMS, NTSE, TET AND NEET EXAMS

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OLYMPIAD MATHS - 2

📘 Class 7 Olympiad – Fraction Conversion & Operations

1. Convert 3/2 into mixed fraction
1 1/2
2 1/3
1 2/3
✅ Answer: 1 1/2
3 ÷ 2 = 1 remainder 1 → 1 1/2
2. Convert 2 3/4 into improper fraction
9/2
11/4
7/4
✅ Answer: 11/4
(2×4)+3 = 11 → 11/4
3. Add: 1/2 + 1/3
5/6
2/5
3/6
✅ Answer: 5/6
LCM of 2 & 3 = 6 → (3+2)/6
4. Subtract: 5/6 − 1/3
4/6
1/6
1/2
✅ Answer: 1/2
1/3 = 2/6 → 5/6 - 2/6 = 3/6 = 1/2
5. Multiply: 3/4 × 2/5
3/10
6/9
5/8
✅ Answer: 3/10
(3×2)/(4×5) = 6/20 = 3/10
6. Divide: 3/5 ÷ 2/3
6/15
9/10
5/6
✅ Answer: 9/10
Multiply by reciprocal → 3/5 × 3/2
7. Convert 7/4 into mixed fraction
1 3/4
2 1/4
✅ Answer: 1 3/4
7 ÷ 4 = 1 remainder 3
8. Add: 3/8 + 1/8
1/2
4/16
✅ Answer: 1/2
Same denominator → add numerators
9. Subtract: 9/10 − 3/5
6/10
3/10
✅ Answer: 3/10
3/5 = 6/10 → 9/10 - 6/10
10. Multiply: 5/6 × 3/4
5/8
15/24
✅ Answer: 5/8
15/24 simplifies to 5/8
20. Divide: 8/9 ÷ 2/3
4/3
16/18
✅ Answer: 4/3
8/9 × 3/2 = 24/18 = 4/3

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