Simplify.

​$$\frac{6.25 + \frac{5}{7} \times 28 - 5}{\frac{3}{4} \times (15.8 - 3.4) + 5 \times 2.39}$$​​

Correct option is B

Given:

​$$\frac{6.25+\frac{5}{7}\times28-5}{\frac{3}{4}\times(15.8-3.4)+5\times2.39}$$

Concept Used:

$$\begin{array}{|c|c|} \hline \textbf{Operation preference wise} & \textbf{Symbol} \\\hline\text{Brackets} &[],{}, () \\ \hline \text{Orders, of} & ^x(power), √ (root) , of \\ \hline \text{Division}& ÷ \\\hline \text{Multiplication} & × \\ \hline \text{Addition} & + \\ \hline \text{Subtraction} & - \\\hline\end{array}$$

Solution:

$$\frac{6.25+\frac{5}{7}\times28-5}{\frac{3}{4}\times(15.8-3.4)+5\times2.39}$$​

$$\frac{6.25+20-5}{\frac{3}{4}\times(12.4)+5\times2.39}$$

=$$\frac{6.25+20-5}{3 \times 3.1+5\times2.39}$$

=$$\frac{26.25-5}{9.3+11.95}$$

=$$\frac{21.25}{21.25} = 1$$​

Option (b) is right.