NCERT Class 7 Mathematics Ganita Prakash: Chapter 8 — Working with Fractions
This chapter, 'Multiplication of Fractions' from NCERT's Class 7 Mathematics Ganita Prakash, introduces the concept of multiplying fractions through real-life examples. It begins by revisiting simple multiplication of whole numbers to find distances covered over time. The chapter then extends this to scenarios involving fractional distances or fractional time, demonstrating how multiplication is used to calculate the total distance. For instance, it explains how to find the distance a tortoise walks in 3 hours if it covers 1/4 km in 1 hour, and how to calculate Aaron's walking distance in 2/5 hours if he walks 3 km in 1 hour. The core idea is that multiplication of fractions is a consistent method for calculating combined quantities. This chapter helps students build a foundational understanding of fraction multiplication, crucial for more advanced mathematical concepts in CBSE.
Quick info
| Board | CBSE / NCERT |
|---|---|
| Class | Class 7 |
| Subject | Mathematics |
| Book | Ganita Prakash |
| Chapter | Chapter 8 — Working with Fractions |
| Language | English |
| PDF type | NCERT Textbook |
| Session | CBSE 2026 |
| Reading time | 2 minutes |
| Word count | 324 |
Learning outcomes
- Understand multiplication of fractions in real-world contexts.
- Calculate distance covered based on speed and time involving fractions.
- Apply multiplication to find the product of a fraction and a whole number.
- Grasp the concept of multiplying fractions by fractions.
Vocabulary
| Word | Meaning |
|---|---|
| Multiplication | The process of combining groups of equal size; repeated addition. |
| Fraction | A number that represents a part of a whole. |
| Distance | The length between two points. |
| Speed | The rate at which someone or something moves or operates. |
| Time | The indefinite continued progress of existence and events. |
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Practice questions
- If Aaron walks 3 km in 1 hour, how far can he walk in 5 hours? Answer: 15 km
- A tortoise walks 1/4 km in 1 hour. How far can it walk in 3 hours? Answer: 3/4 km
- Calculate the distance Aaron can walk in 2/5 hours if he walks 3 km in 1 hour. Answer: 6/5 km
Frequently asked questions
What is the main concept of Chapter 8 in NCERT Class 7 Mathematics?
Chapter 8 focuses on the 'Multiplication of Fractions', explaining how to multiply fractions with whole numbers and other fractions using practical examples.
How is multiplication used in real-life scenarios in this chapter?
The chapter uses examples like calculating distances covered by walking at a certain speed over a period of time, which may involve fractions.
What is the formula for distance covered if speed and time are given?
Distance = Speed × Time. This formula is applied even when speed or time are represented as fractions.
How do you calculate the distance walked in a fractional hour?
You multiply the distance covered in one hour by the fractional part of the hour. For example, if speed is 3 km/hr, in 1/5 hour, distance is (1/5) * 3 km.
What is the product of 3 and 1/4?
The product of 3 and 1/4 is 3/4, which can be thought of as 1/4 + 1/4 + 1/4.
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NCERT Class 7 Mathematics — Ganita Prakash — Chapter 8 — Working with Fractions. Verified by NCERT Help Editorial Team. Reviewed on 29 Jul 2026. Last updated 10 Aug 2026.