How to solve ??

$$\begin{gathered} \mathit{S}\mathit{i}\mathit{m}\mathit{p}\mathit{l}\mathit{i}\mathit{f}\mathit{y}\mathbf{:}\mathbf{\hspace{0.17em}} \\ \left(a\right) \frac{32}{5}+\frac{23}{11}\times \frac{22}{15} \left(B\right) \frac{3}{7}\times \frac{28}{15}÷\frac{14}{5} \\ \left(c\right) \frac{3}{7}+\frac{-2}{21}\times \frac{-5}{6} \left(D\right) \frac{7}{8}+\frac{1}{16}-\frac{1}{12} \end{gathered}$$

Dear Student,

Please find below the solution to the asked query:

We use BODMAS to simplify these , As :

a ) We have : $\frac{32}{5} + \frac{23}{11} \times \frac{22}{15}$ , So

$$\begin{gathered} \Rightarrow \frac{32}{5} + \frac{23}{1} \times \frac{2}{15} \\ \Rightarrow \frac{32}{5} + \frac{46}{15} \\ \Rightarrow \frac{96 + 46}{15} \\ \mathbf{\Rightarrow }\frac{\mathbf{142}}{\mathbf{15}}\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{(}\mathbf{ }\mathbf{Ans}\mathbf{ }\mathbf{)} \end{gathered}$$

c ) We have : $\frac{3}{7} + \frac{- 2}{21} \times \frac{- 5}{6}$ , So

$$\begin{gathered} \Rightarrow \frac{3}{7} + \frac{-1}{21} \times \frac{- 5}{3} \\ \mathrm{We} \mathrm{know} : - \times - = + \\ \Rightarrow \frac{3}{7} + \frac{5}{63} \\ \Rightarrow \frac{27 + 5}{63} \\ \mathbf{\Rightarrow }\frac{\mathbf{32}}{\mathbf{63}}\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{(}\mathbf{ }\mathbf{Ans}\mathbf{ }\mathbf{)} \end{gathered}$$

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