Simplify: \(\frac{{\frac{7}{2} \div \frac{5}{2} \times 4}}{{\;\;\frac{7}{2} \div \frac{5}{2}of\;4}} + 9\;\)

A 39

B 24

C 50

D 45

E None of these

Correct Answer: Option E

Follow BODMAS rule to solve this question, as per the order given below,

Step-1-Parts of an equation enclosed in 'Brackets' must be solved first,

Step-2-Any mathematical 'Of' or 'Exponent' must be solved next,

Step-3-Next, the parts of the equation that contain '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:

\(\frac{{\frac{7}{2} \div \frac{5}{2} \times 4}}{{\;\;\;\frac{7}{2} \div \frac{5}{2}of\;4}} + 9\)

\(= \frac{{\frac{7}{2} \times \frac{2}{5} \times 4}}{{\frac{7}{2} \div \left( {\frac{5}{2} \times \;4} \right)}} + 9\)

\(= \frac{{\frac{7}{5} \times 4}}{{\frac{7}{2} \div 10}} + 9\)

\(= \frac{{\frac{{28}}{5}}}{{\frac{7}{2} \times \frac{1}{{10}}}} + 9\)

\(= \frac{{\frac{{28}}{5}}}{{\frac{7}{{20}}}} + 9\)

\(= \frac{{28}}{5} \times \frac{{20}}{7} + 9\)

= 16 + 9 = 25