Class 7 · Chapter 2

Fractions and Decimals

Multiplication and division of fractions and decimals.

Read the full chapter
Tip: open the NCERT PDF for the original chapter text alongside the notes here.
Detailed theory
Add/subtract fractions by taking LCM of denominators. Multiply: numerator × numerator, denominator × denominator, then simplify. Divide: multiply by the reciprocal.
Key concepts & formulas
01
Reciprocal of pq\dfrac{p}{q} is qp\dfrac{q}{p}.
02
Dividing by a fraction == multiplying by its reciprocal.
03
×10,100,1000\times 10, 100, 1000 shifts decimal right; ÷\div shifts left.
04
ab×cd=acbd\dfrac{a}{b}\times\dfrac{c}{d} = \dfrac{ac}{bd}.
05
Every fraction with denominator 2a5b2^a 5^b has terminating decimal.
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026