NCERT Solutions for Class 7 Mathematics Chapter 8 Working with Fractions
NCERT Solutions for Class 7 Mathematics Chapter 8 Working with Fractions
NCERT Solutions for Class 7 Mathematics Chapter 8 Working with Fractions
This worksheet provides complete and accurate NCERT Solutions for Class 7 Mathematics Chapter Working with Fractions. This chapter helps students understand how fractions are used in real-life situations through multiplication, division, and word problems. It builds strong numerical skills and improves problem-solving ability. These solutions are prepared as per the latest NCERT guidelines to ensure conceptual clarity and exam readiness.
Chapter summary: stories, concepts & themes
This chapter focuses on understanding fractions in practical contexts. It explains how to multiply and divide fractions, convert mixed fractions, and solve real-life problems using unitary method and logical reasoning. Students also learn important properties like how products change depending on the type of fractions and how division can be converted into multiplication using reciprocals.
What this NCERT chapter covers?
• Multiplication of fractions (fraction × whole number and fraction × fraction)
• Division of fractions using reciprocals
• Conversion of mixed fractions into improper fractions
• Application of BODMAS in fraction operations
• Real-life word problems involving fractions
• Understanding product relationships (greater/less than)
How to use these NCERT solutions?
Students should first try solving the questions independently. After attempting, they can use these NCERT Solutions to check answers and understand correct methods. Teachers and parents can guide students to focus on step-by-step logic and avoid calculation mistakes. These solutions follow the exact NCERT sequence for easy revision.
Student tips & learning tricks
• Always convert mixed fractions into improper fractions before solving
• Use reciprocal method for division of fractions
• Follow BODMAS rule carefully
• Simplify fractions to lowest form
• Read word problems carefully to decide operation
Why NCERT solutions are important?
NCERT Solutions help students build strong fundamentals in fractions, which are essential for higher mathematics. They improve accuracy, speed, and logical thinking. These solutions are useful for school exams, Olympiads, and competitive preparation.
Complete answer key – NCERT solutions
Figure it Out (Page 176)
1. Per day = 1/2
Week = 7 × 1/2 = 7/2
January = 31 × 1/2 = 31/2
Answer:
Week → 7/2 glasses
January → 31/2 glasses
2. 1 km in 8 days → 1 day = 1/8 km
5 days → 5 × 1/8 = 5/8 km
Answer:
Per day → 1/8 km
Per week → 5/8 km
3. Each family = 5 ÷ 3 = 5/3 litres
4 weeks = 4 × 5/3 = 20/3
Answer:
Weekly → 5/3 litres
4 weeks → 20/3 litres
Figure it Out (Page 176 continued)
4. Delay = 5/6 hour per day
3 days → 3 × 5/6 = 15/6 = 2.5 hours
Answer: 12:30 am
5. (a) 7 × 3/5 = 21/5 = 4 1/5
(b) 4 × 1/3 = 4/3 = 1 1/3
(c) 9/7 × 6 = 54/7 = 7 5/7
(d) 13/11 × 6 = 78/11 = 7 1/11
Figure it Out (Page 180–181)
1. (a) 1/3 × 1/5 = 1/15
(b) 1/4 × 1/3 = 1/12
(c) 1/5 × 1/2 = 1/10
(d) 1/6 × 1/5 = 1/30
(e) 1/12 × 1/18 = 1/216
2. (a) 2/3 × 4/5 = 8/15
(b) 1/4 × 2/3 = 1/6
(c) 3/5 × 1/2 = 3/10
(d) 4/6 × 3/5 = 2/5
Figure it Out (Page 183)
1. (a) 7/30
(b) 7/15
(c) 21/40
(d) 49/100
(e) 10/7 hours
2. Remaining = 5/6
(a) Krishna = 1/2 × 5/6 = 5/12
(b) Bora = 1/3 × 5/6 = 5/18
(c) Somu = 5/36
3. Area = 15/4 × 48/5 = 36 sq ft
4. Distance = 3 × 3/4 = 9/4 m
5. 12/15 of 500 = 400 g
3/20 of 4 kg = 600 g
Answer: second is heavier
Fill in the blanks:
• less
• greater
Figure it Out (Page 196–197)
1. (a) 3 ÷ 7/9 = 27/7
(b) 14/4 ÷ 2 = 7/4
(c) 2/3 + 2/3 = 4/3
(d) 14/6 ÷ 7/3 = 1
(e) 4/3 ÷ 3/4 = 16/9
(f) 7/4 ÷ 4/7 = 49/16
(g) 5 ÷ 1/9 = 45
(h) 1/6 ÷ 11/12 = 2/11
(i) 3 2/3 ÷ 1 3/8 = 8/3
2. (a) 8 ÷ 1/4 = 32
(b) 1/2 ÷ 8 = 1/16
(c) 5 ÷ 1/6 = 30
3. 1/4 kg → 12 rotis
1 roti = 1/48
6 rotis = 1/8 kg
Figure it Out (continued)
4. 1 ÷ 1/6 = 6
1 ÷ 1/10 = 10
1 ÷ 1/13 = 13
1 ÷ 1/9 = 9
1 ÷ 1/2 = 2
Total = 40
5. Total pages = 400
Read = 80 + 120 = 200
Remaining = 200
6.
Fuel = 11/4
Distance = 16 × 11/4 = 44 km
7. 5 1/6 − 1/2 = 4 2/3 hours
8. Remaining cake = 1/5
Each = 1/15
9. Correct options: (a), (c), (e)
10. Answer: 1/8
11. Answer: 1/2
12. Answer: 1/n
These answers are fully aligned with the worksheet provided and follow NCERT methods for better understanding. :contentReference[oaicite:0]{index=0}
Master fractions with confidence using these structured NCERT Solutions and improve your problem-solving skills step by step.