Q1
1/2 x 2/3 equals:
A1/3
B2/5
C3/5
D2/6 (unsimplified, still 1/3)
CBSEClass 7 (CBSE)MathematicsCh 8 · Topic 1
Multiplication and Division of Fractions
Learning to multiply and divide fractions.
Core concept
For example, 2/3 × 3/4 = (2×3)/(3×4) = 6/12, which simplifies to 1/2. Dividing 3/4 by 1/2 means multiplying 3/4 by the reciprocal of 1/2 (which is 2/1), giving 3/4 × 2/1 = 6/4, which simplifies to 3/2. Understanding why 'dividing by a fraction means multiplying by its reciprocal' relates to the fact that dividing by a number smaller than 1 should give a larger result, which multiplying by the reciprocal correctly achieves.
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CBSE class 7 multiplication and division of fractions
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• To multiply fractions: multiply numerators together and denominators together, then simplify.
• To divide by a fraction: multiply by its reciprocal (flipped fraction).
• Example: 2/3 x 3/4 = 6/12 = 1/2.
• Dividing by a fraction smaller than 1 gives a result larger than the original number.