We want the same value as \(\dfrac{3}{4}\), but with denominator 44.
- Start with: \(\dfrac{3}{4}\)
- To make the denominator 44, find what to multiply 4 by:
\(4 \times 11 = 44\)
- Multiply both numerator and denominator by 11:
Numerator: \(3 \times 11 = 33\)
Denominator: \(4 \times 11 = 44\)
- So the new fraction is:
\(\dfrac{33}{44}\)
- 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.