Question

What will be the answer to '¾×5/41-7/4+5/41×14/5' ?

Answer 1

$$\begin{gathered} \frac{13}{4}\times \frac{5}{41}-\frac{7}{4}+\frac{5}{41}\times \frac{14}{5} \\ =\frac{13}{4}\times \frac{5}{41}+\frac{5}{41}\times \frac{14}{5}-\frac{7}{4}\left[\mathbf{Commutative}\mathbf{}\mathbf{law}\right] \\ =\frac{5}{41}\times \left[\frac{13}{4}+\frac{14}{5}\right]-\frac{7}{4}\left[\mathbf{Distributive}\mathbf{}\mathbf{law}\right] \\ =\frac{5}{41}\times \left[\frac{65+56}{20}\right]-\frac{7}{4} \\ =\frac{5}{41}\times \frac{121}{20}-\frac{7}{4} \\ =\frac{121}{164}-\frac{7}{4} \\ =\frac{121-287}{164} \\ =-\frac{166}{164} \\ =-\frac{83}{82} \end{gathered}$$