Class 7 Maths Part 1 Chapter 8, Working with Fractions, develops visual and conceptual mastery of multiplying and dividing fractions—using rectangular area models, simplifying before multiplying, reciprocals, Brahmagupta’s historical laws, and multi-step fraction word problems.
What Class 7 Mathematics Chapter 8 Covers
8.1 Multiplication of Fractions models multiplying a fraction by a whole number and multiplying two fractions ($\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$) via the area of a $1 \times 1$ unit square, cancels common factors to lowest form, and explains when a product is smaller or larger than the factors.
8.2–8.3 Division of Fractions & Historical Problems derives fraction division as multiplication by the reciprocal ($\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$) as stated by Brahmagupta and Bhaskaracharya, and solves real-world and classical Sanskrit problems (‘A Dramma-tic Donation’ from Lilavati).
Exercises in Chapter 8
- Figure it Out exercise sets and Summary with solved walkthroughs.
Read Class 7 Mathematics Chapter 8 Online
More Chapters
- Previous: Chapter 7: A Tale of Three Intersecting Lines
- Hindi medium: Class 7 Maths Part 1 Chapter 8 PDF in Hindi (Ganita Prakash)
- All Mathematics chapters and the other Class 7 books: Class 7 NCERT books 2026-27
FAQ
How do you multiply two fractions and how do you divide one fraction by another?
To multiply two fractions, multiply the numerators together and multiply the denominators together: $\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$. To divide by a fraction, multiply the dividend by the reciprocal of the divisor: $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$.
Is the product of two numbers always greater than both numbers?
No. When you multiply a positive number by a proper fraction (between 0 and 1), the product is smaller than the original number; when both fractions are between 0 and 1, their product is smaller than both fractions.