Question

The value of \(\left( 8 \div \dfrac{2}{3} \ of \ \dfrac{4}{5} \right) \times \dfrac{(0.89)^2 + 0.64(1.53)}{(0.89)^3 - (0.64)^3} \div \left( 8 \times \dfrac{2}{3} \div \dfrac{4}{5} \right) \) is:
1. 0.9
2. 9
3. 3
4. 0.3

Answer 1

Correct Answer - Option 2 : 9

⇒ \(\left( 8 \div \dfrac{2}{3} \ of \ \dfrac{4}{5} \right) × \dfrac{(0.89)^2 + 0.64(1.53)}{(0.89)^3 - (0.64)^3} \div \left( 8 × \dfrac{2}{3} \div \dfrac{4}{5} \right) \)

⇒ \(\left(8 \div \dfrac{8}{15} \right) × \dfrac{(0.89)^2 + 0.64(1.53)}{(0.89)^3 - (0.64)^3} \div \left( 8 × \dfrac{10}{12} \right) \)

⇒ \(\left(8 × \dfrac{15}{8} \right) × \dfrac{(0.89)^2 + 0.64(1.53)}{(0.89)^3 - (0.64)^3} \div \left( \dfrac{80}{12} \right) \)

⇒ \(\left(15 \right) × \dfrac{(0.89)^2 + 0.64(1.53)}{(0.89)^3 - (0.64)^3} × \left( \dfrac{12}{80} \right) \)

⇒ \(15 × \dfrac{(0.7921) + 0.9792)}{0.704969 - 0.262144} × 0.15\)

⇒ \(15 × \dfrac{1.7713}{0.442825} × 0.15\)

⇒ 15× 4 × 0.15

⇒ 60 × 0.15

⇒ 9