Working with Fractions — Class 7 Mathematics NCERT Solutions (Free)
Free step-by-step NCERT solutions for Class 7 Mathematics chapter "Working with Fractions" — 8 important questions with detailed answers for CBSE board exam preparation.
TL;DR: Free step-by-step NCERT solutions for Class 7 Mathematics chapter "Working with Fractions" — 8 important questions with detailed answers for CBSE boar…
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Key Questions Covered:
- Multiply: 2/3 × 4/5
- Divide: 3/4 ÷ 2/5
- Find 2/3 of 15.
- Multiply: 1 2/3 × 2 1/4
- Divide: 3 1/2 ÷ 1 1/4
- Simplify: (3/4 × 8/9) ÷ 2/3
- + 2 more questions in the full chapter
Solutions Summary:
| Question | Status |
|---|---|
| Multiply: 2/3 × 4/5 | ✓ Solved |
| Divide: 3/4 ÷ 2/5 | ✓ Solved |
| Find 2/3 of 15. | ✓ Solved |
| Multiply: 1 2/3 × 2 1/4 | ✓ Solved |
| Divide: 3 1/2 ÷ 1 1/4 | ✓ Solved |
| Simplify: (3/4 × 8/9) ÷ 2/3 | ✓ Solved |
Showing 6 of 8 questions
Q1: Multiply: 2/3 × 4/5
Step 1: To multiply fractions, multiply numerators together and denominators together.
(a/b) × (c/d) = (a × c)/(b × d)
Step 2: Apply the rule:
2/3 × 4/5 = (2 × 4)/(3 × 5) = 8/15
Step 3: Check if the fraction can be simplified:
GCD(8, 15) = 1 (8 and 15 share no common factors)
So 8/15 is already in lowest terms.
Answer: 8/15
Q2: Divide: 3/4 ÷ 2/5
Step 1: To divide by a fraction, multiply by its reciprocal.
(a/b) ÷ (c/d) = (a/b) × (d/c)
Step 2: Find reciprocal of 2/5:
Reciprocal = 5/2
Step 3: Multiply:
3/4 × 5/2 = (3 × 5)/(4 × 2) = 15/8
Step 4: Check if simplifiable:
GCD(15, 8) = 1
So 15/8 is in lowest terms.
Step 5: Convert to mixed number if needed:
15/8 = 1 7/8 (since 15 = 8 × 1 + 7)
Answer: 15/8 or 1 7/8
Q3: Find 2/3 of 15.
Step 1: "Of" means multiply in mathematics.
2/3 of 15 = 2/3 × 15
Step 2: Multiply:
2/3 × 15 = (2 × 15)/3 = 30/3
Step 3: Simplify:
30/3 = 10
Answer: 10
Q4: Multiply: 1 2/3 × 2 1/4
Step 1: Convert mixed numbers to improper fractions:
1 2/3 = (1 × 3 + 2)/3 = 5/3
2 1/4 = (2 × 4 + 1)/4 = 9/4
Step 2: Multiply the improper fractions:
5/3 × 9/4 = (5 × 9)/(3 × 4) = 45/12
Step 3: Simplify by finding GCD:
GCD(45, 12) = 3
45 ÷ 3 = 15
12 ÷ 3 = 4
So 45/12 = 15/4
Step 4: Convert to mixed number:
15/4 = 3 3/4 (since 15 = 4 × 3 + 3)
Answer: 15/4 or 3 3/4
Q5: Divide: 3 1/2 ÷ 1 1/4
Step 1: Convert mixed numbers to improper fractions:
3 1/2 = (3 × 2 + 1)/2 = 7/2
1 1/4 = (1 × 4 + 1)/4 = 5/4
Step 2: To divide, multiply by reciprocal:
7/2 ÷ 5/4 = 7/2 × 4/5
Step 3: Multiply:
(7 × 4)/(2 × 5) = 28/10
Step 4: Simplify:
GCD(28, 10) = 2
28 ÷ 2 = 14
10 ÷ 2 = 5
So 28/10 = 14/5
Step 5: Convert to mixed number:
14/5 = 2 4/5 (since 14 = 5 × 2 + 4)
Answer: 14/5 or 2 4/5
Q6: Simplify: (3/4 × 8/9) ÷ 2/3
Step 1: Simplify the bracket first: 3/4 × 8/9
(3 × 8)/(4 × 9) = 24/36
Simplify: GCD(24, 36) = 12
24 ÷ 12 = 2, 36 ÷ 12 = 3
So 24/36 = 2/3
Step 2: Now divide by 2/3:
2/3 ÷ 2/3 = 2/3 × 3/2
Step 3: Multiply:
(2 × 3)/(3 × 2) = 6/6 = 1
Answer: 1
Showing 6 of 8 questions. Visit the full page for complete solutions.
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