NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 4: Fractions & Decimals - Problems and Solutions

Question 89

We want the same value as \(\dfrac{3}{4}\), but with denominator 44.

1. Start with: \(\dfrac{3}{4}\)
2. To make the denominator 44, find what to multiply 4 by:
   \(4 \times 11 = 44\)
3. Multiply both numerator and denominator by 11:
   Numerator: \(3 \times 11 = 33\)
   Denominator: \(4 \times 11 = 44\)
4. So the new fraction is:
   \(\dfrac{33}{44}\)
5. Quick check (optional): reduce \(\dfrac{33}{44}\) by 11:
   \(\dfrac{33\div 11}{44\div 11} = \dfrac{3}{4}\)
   This matches the original fraction, so it’s correct.