Correct Answer - Option 1 :
\(2 \frac{1}{4}\)
Given:
The equation is \(\left( {5\frac{1}{9} - 7\frac{7}{8} ÷ 9\frac{9}{{20}}} \right) × \frac{9}{{11}} - \left( {5\frac{1}{4} ÷ \frac{3}{7}\;of\;\frac{1}{4} × \frac{2}{7}} \right) ÷ 4\frac{2}{3} + 1\frac{3}{4}\;\)
Calculation:
⇒ {46/9 - (63/8 × 20/189)} × 9/11 - (21/4 × 28/3 × 2/7) ÷ (14/3) + 7/4
⇒ {46/9 - (20/24)} × 9/11 - (14) ÷ (14/3) + 7/4
⇒ {(192 - 15)/18} × 9/11 - 3 + 7/4
⇒ 9/4 or (2 + 1/4)
∴ The required result will be 9/4.