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id: "69be7fb0b44bd98134ff827c"
title: "Working with Fractions"
board: "CBSE"
curriculum: "CBSE"
class: "Class 7"
subject: "Mathematics"
book: "Ganita Prakash"
chapter: "Working with Fractions"
chapter_slug: "working-with-fractions"
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version: 1
last_updated: "2026-06-20"
---

# Working with Fractions

This chapter focuses on the calculation and application of fractions in various contexts, primarily through multiplication and division, as illustrated by practical examples involving distances and costs.

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## Knowledge Snapshot

| Field | Details |
| :--- | :--- |
| Class | Class 7 |
| Subject | Mathematics |
| Book | Ganita Prakash |
| Chapter | Working with Fractions |
| Pages | 173-199 |

---

## Chapter Summary

### Short Summary
The chapter explains how to perform multiplication and division with fractions, using real-world scenarios to illustrate the concepts clearly and effectively.

### Detailed Summary
This chapter discusses the multiplication of fractions through examples involving Aaron and his activities. It explores how to calculate distances covered in certain hours and involves fractional values in both distance and time. Key examples include the distance Aaron can walk and the amount of land distributed by a farmer, demonstrating the essential steps in multiplying fractions with whole numbers.

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## Topic-Wise Explanation

### Multiplication of Fractions
This topic covers the method of multiplying fractions through contextual examples. It illustrates how to determine distances covered by various speeds, including a pet tortoise's slower pace. The chapter emphasizes that multiplying fractions with whole numbers follows systematic steps, as demonstrated through detailed calculations.

### Division of Fractions
Omitted.

### Some Problems Involving Fractions
This section includes practical problems that incorporate fractions, like determining the total cost of internet time or the total area of land distributed, showing how fractions impact daily life.

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## Core Ideas

| Idea | Explanation |
| :--- | :--- |
| Fractions in Multiplication | Multiplying a whole number by a fraction involves treating the fraction as a part of the whole. |

---

## Key Concepts

| Concept | Meaning |
| :--- | :--- |
| Multiplication of Fractions | The process of multiplying a fraction by a whole number or another fraction to find an equivalent total or part. |

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## Important Points for Revision

* Understand how to multiply whole numbers by fractions.
* Learn the steps for dividing distances covered in hours using fractions.
* Apply multiplication principles to real-world problems, such as calculating costs and areas.
* Practice examples involving different fractional values to enhance understanding.
* Remember the different ways to express time in hours, fractions, and mixed numbers.
* Familiarize with converting mixed numbers to improper fractions.
* Solve practical problems involving multiplication of fractions.
* Emphasize the need to break down calculations into manageable steps for clarity.

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## Vocabulary and Glossary

| Word / Phrase | Meaning |
| :--- | :--- |
| Acre | A unit of area equal to 4,840 square yards (approximately 0.405 hectares). |
| Kilometre | A unit of length equal to 1,000 meters. |

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## Practice Questions

### Short Answer Questions
1. How far does Aaron walk in 5 hours?
2. If the tortoise walks 1/4 km in 1 hour, how far will it walk in 3 hours?
3. What is the distance covered by Aaron in 1/5 hours?
4. Calculate the total land distributed to 5 grandchildren if each received 2/3 acre.
5. How much will 1 1/4 hours of internet time cost if 1 hour costs ₹8?

### Long Answer Questions
1. Explain the process of finding the distance covered in mixed fraction hours using an example from the chapter.
2. Discuss how multiplying a fraction by a whole number can be applied in practical scenarios, providing two examples.
3. Illustrate the steps needed to calculate total cost based on fractional hours of service, using the internet cost problem as a reference.

---

## Related Concepts

* Multiplication of Whole Numbers
* Fractional Cost Calculation

---

## Source Attribution

| Field | Value |
| :--- | :--- |
| Source | Edzy |
| Reference Type | examSubjectBookChapter |
| Reference ID | 69be7fb0b44bd98134ff827c |
| Canonical URL | https://www.edzy.ai/cbse-class-7-mathematics-ganita-prakash-working-with-fractions |
| Markdown URL | https://www.edzy.ai/okf/chapter/cbse-class-7-mathematics-ganita-prakash-working-with-fractions.md |