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.

• 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.

Written by Satish

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