Question

The value of \(\left( {5\frac{1}{9} - 7\frac{7}{8} \div 9\frac{9}{{20}}} \right) \times \frac{9}{{11}} - \left( {5\frac{1}{4} \div \frac{3}{7}\;of\;\frac{1}{4} \times \frac{2}{7}} \right) \div 4\frac{2}{3} + 1\frac{3}{4}\;is:\)
1. \(2 \frac{1}{4}\)
2. \(2 \frac{1}{3}\)
3. \(3 \frac{1}{4}\)
4. \(4 \frac{1}{2}\)

Answer 1

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.