Fractions in Disguise — Class 8 Mathematics NCERT Solutions (Free)
Free step-by-step NCERT solutions for Class 8 Mathematics chapter "Fractions in Disguise" — 8 important questions with detailed answers for CBSE board exam preparation.
TL;DR: Free step-by-step NCERT solutions for Class 8 Mathematics chapter "Fractions in Disguise" — 8 important questions with detailed answers for CBSE board…
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Key Questions Covered:
- Express 4/5 as a rational number with denominator 20.
- Find the sum: 3/8 + 5/8
- Subtract: 7/12 − 5/12
- Add: 1/3 + 1/4
- Multiply: (2/3) × (3/5)
- Divide: (5/7) ÷ (2/3)
- + 2 more questions in the full chapter
Solutions Summary:
| Question | Status |
|---|---|
| Express 4/5 as a rational number with denominator 20. | ✓ Solved |
| Find the sum: 3/8 + 5/8 | ✓ Solved |
| Subtract: 7/12 − 5/12 | ✓ Solved |
| Add: 1/3 + 1/4 | ✓ Solved |
| Multiply: (2/3) × (3/5) | ✓ Solved |
| Divide: (5/7) ÷ (2/3) | ✓ Solved |
Showing 6 of 8 questions
Q1: Express 4/5 as a rational number with denominator 20.
Step 1: We need to express 4/5 with denominator 20.
Step 2: Multiply numerator and denominator by 4:
(4 × 4)/(5 × 4) = 16/20
Step 3: Therefore, 4/5 = 16/20
Q2: Find the sum: 3/8 + 5/8
Step 1: Both fractions have the same denominator (8).
Step 2: Add the numerators: 3 + 5 = 8
Step 3: Sum = (3 + 5)/8 = 8/8
Step 4: Simplify: 8/8 = 1
Q3: Subtract: 7/12 − 5/12
Step 1: Both fractions have the same denominator (12).
Step 2: Subtract the numerators: 7 − 5 = 2
Step 3: Difference = (7 − 5)/12 = 2/12
Step 4: Simplify by dividing by GCD(2,12) = 2:
2/12 = 1/6
Q4: Add: 1/3 + 1/4
Step 1: Find LCM of 3 and 4 = 12
Step 2: Convert 1/3 to denominator 12: (1 × 4)/(3 × 4) = 4/12
Step 3: Convert 1/4 to denominator 12: (1 × 3)/(4 × 3) = 3/12
Step 4: Add: 4/12 + 3/12 = 7/12
Q5: Multiply: (2/3) × (3/5)
Step 1: Multiply numerators: 2 × 3 = 6
Step 2: Multiply denominators: 3 × 5 = 15
Step 3: Product = 6/15
Step 4: Simplify by dividing by GCD(6,15) = 3:
6/15 = 2/5
Q6: Divide: (5/7) ÷ (2/3)
Step 1: Division of fractions: (5/7) ÷ (2/3) = (5/7) × (3/2)
Step 2: Multiply numerators: 5 × 3 = 15
Step 3: Multiply denominators: 7 × 2 = 14
Step 4: Result = 15/14
Showing 6 of 8 questions. Visit the full page for complete solutions.
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