SSC MTS 2 Aug 2019 Shift 3 Paper

Follow BODMAS rule to solve this question, as per the order is given below:
Step-1: Parts of an equation enclosed in ‘Brackets’ must be solved first and in the bracket,
Step-2: Any mathematical ‘Of’ or ‘Exponent’ must be solved next,
Step-3: Next, the parts of the equation that contains ‘Division’ and ‘Multiplication’ are calculated,
Step-4: Last but not least, the parts of the equation that contain ‘Addition’ and ‘Subtraction’ should be calculated.
Given expression is,
Calculation :
$\frac{\frac{2}{3}\mathrm{o}\mathrm{f}\frac{9}{4}+\frac{1}{2}÷\frac{5}{4}}{1-\frac{1}{3}+\frac{1}{4}\times \left(1+\frac{1}{3}\right)}=\frac{\frac{3}{2}+\frac{1}{2}÷\frac{5}{4}}{1-\frac{1}{3}+\frac{1}{4}\times \frac{4}{3}}$
⇒ $\frac{\frac{3}{2}+\frac{2}{5}}{\frac{2}{3}+\frac{1}{3}}$
⇒ $\frac{19}{10}$
∴ Required answer is $\frac{19}{10}$.