Download Working with Fractions – NCERT Class 7 Maths Chapter 8 PDF from the new NCERT Class 7 Maths book Ganita Prakash (2026-27). Read the chapter online or download the free PDF. Multiplying by a fraction is done in two steps: divide the multiplicand by the multiplier’s denominator, then multiply by its numerator.
Working with Fractions PDF – Chapter 8 of Ganita Prakash (Part I)
Read the chapter online or download the PDF.
| Chapter | Download | |
|---|---|---|
| Chapter 8 PDF | Working with Fractions | View PDF |
| Full book | NCERT Class 7 Maths – Ganita Prakash | View Book |
Read Online
What Is in Working with Fractions? (Class 7 Maths Chapter 8)
- Multiplying by a fraction is done in two steps: divide the multiplicand by the multiplier’s denominator, then multiply by its numerator.
- Drawing the two fractions as the sides of a rectangle inside a unit square shows why area = product of the sides.
- Brahmagupta’s formula: a⁄b × c⁄d = a × c⁄b × d. Common factors may be cancelled before multiplying.
- The product is not always bigger: multiplying by a number between 0 and 1 makes it smaller; multiplying by a number greater than 1 makes it bigger.
- The reciprocal of a⁄b is b⁄a; a fraction times its reciprocal is 1. To divide, multiply by the divisor’s reciprocal.
- Dividing by a number between 0 and 1 makes the quotient larger than the dividend — which is why 6 ÷ 1⁄4 = 24.
Quick revision – Working with Fractions
| Idea | What it means | Example from the chapter | Key result |
|---|---|---|---|
| Whole number × fraction | Repeated addition of the fraction | 3 × 1/4 | 3/4 |
| Fraction × whole number | Divide by the denominator, multiply by the numerator | 2/5 × 3 | 6/5 |
| Unit square model | The whole is cut into rows × columns | 1/2 × 1/4 | 1/8 |
| Fractional units | 1 over the product of denominators | 1/b × 1/d | 1/(b × d) |
| Brahmagupta’s product rule | Numerators × numerators, denominators × denominators | 5/12 × 7/18 | 35/216 |
| Cancelling (apavartana) | Divide out common factors first | 12/7 × 5/24 | 5/14 |
| Area of a rectangle | Fractional sides, area is their product | Sides 3¾ ft and 9⅗ ft | 36 sq ft |
| Size of the product | Depends on whether the numbers are below or above 1 | 3/4 × 2/5 | 3/10, less than both |
| Reciprocal (व्युत्क्रम) | Turn the fraction upside down | 3/5 | 5/3, and 3/5 × 5/3 = 1 |
| Division rule | Multiply the dividend by the divisor’s reciprocal | 2/3 ÷ 3/5 | 10/9 |
| Small divisor | Dividing by a fraction below 1 makes the answer bigger | 6 ÷ 1/4 | 24 |
| Order does not matter | The rectangle is the same if you swap its sides | 1/2 × 1/4 = 1/4 × 1/2 | 1/8 |
Old NCERT vs New – Class 7 Maths
This chapter is from Ganita Prakash, the new NCERT Class 7 Maths book (NCF-SE 2023, used from 2025-26). It replaced the old book “Mathematics”, so chapter numbers and names differ from older PDFs.
Solutions and All Chapters
Answers to the exercises and the full chapter list of Ganita Prakash:
Working with Fractions – Overview
| Class | Class 7 |
| Subject | Maths |
| Book | Ganita Prakash – new NCERT book |
| Part | Part I |
| Chapter | 8 of 15 – Working with Fractions |
| Book pages | 173 – 199 |
| Edition | NCERT Reprint 2026-27 |
| Session | 2026-27 |
| Free – read online or download |
Class 7 Maths Chapter 8 – FAQs
Where can I download Working with Fractions Class 7 PDF?
From the download table on this page – the chapter PDF is free, and the full book is linked too.
What is Class 7 Maths Chapter 8 about?
Multiplying by a fraction is done in two steps: divide the multiplicand by the multiplier’s denominator, then multiply by its numerator.
Is Working with Fractions from the new NCERT Class 7 Maths book?
Yes. It is chapter 8 of ganita prakash (part i), the new NCERT Class 7 Maths book for 2026-27.
Is this the latest NCERT edition for 2026-27?
Yes – the PDF is NCERT’s latest edition for the 2026-27 session.
Where are the NCERT Solutions for Class 7 Maths Chapter 8?
Open the NCERT Solutions link above for answers to the exercise questions.