Revision Notes for Class 7 Maths Chapter 8: Working with Fractions

Quick revision notes summarizing all key concepts from Class 7 Maths Chapter 8 “Working with Fractions”. These Class 7 Mathematics Chapter 8 notes are ideal for quick revision just before exams.

Last Updated: September 23, 2026

• To multiply fractions, multiply the numerators together and the denominators together: (a/b) × (c/d) = (a×c)/(b×d).
• To multiply a fraction by a whole number, multiply the numerator by that whole number and keep the denominator the same.
• When one factor in a multiplication is between 0 and 1, the product is smaller than the other factor. When one factor is greater than 1, the product is larger than the other factor.
• To divide by a fraction, multiply by its reciprocal (flip the fraction upside down): a ÷ (b/c) = a × (c/b).
• Dividing a number by a fraction less than 1 gives a result larger than the original number; dividing by a fraction greater than 1 gives a smaller result.
• Always simplify fraction answers to lowest terms where possible, and convert improper fractions to mixed numbers when appropriate.
• Real-world fraction problems often involve rate-based reasoning (e.g., “X fraction fills/covers per unit time,” then scaling up or down).
• Telescoping product pattern: (1−1/2)×(1−1/3)×…×(1−1/n) always simplifies to 1/n.

NCERT Solutions: Class 7 Maths Chapter 8
Extra Questions: Class 7 Maths Chapter 8

For the full chapter, see the Class 7 Maths book page and the Class 7 Maths Formulas Handbook.

Frequently Asked Questions

Why do fractions need a common denominator before they can be added or subtracted?
Fractions represent parts of a whole, and their denominators show how many equal parts the whole has been divided into, so a common denominator ensures the parts being combined are of the same size.

What is the difference between a proper fraction and an improper fraction?
A proper fraction has a numerator smaller than its denominator and represents a value less than one, while an improper fraction has a numerator equal to or greater than its denominator.

Written by Satish

NCERTBooks.org is an independent educational resource run by a small team focused on making official NCERT textbooks easy to find, read, and download for students, parents, and teachers across India. We are not affiliated with NCERT or the Ministry of Education -- we organise publicly available NCERT content by class and subject, verify links against official sources, and build tools (like our in-browser reader) that make studying more convenient. Every guide we publish is written and reviewed by our team based on the actual NCERT curriculum and syllabus.