Subtract the sum of 1/4 and 3/5 from 11/4

Dear Student,

Please find below the answer to your query

$$\begin{gathered} \frac{11}{4}-\left(\frac{1}{4}+\frac{3}{5}\right) \\ \Rightarrow \frac{11}{4}-\frac{5+4\times 3}{20} \\ \Rightarrow \frac{{\displaystyle 11}}{{\displaystyle 4}}-\frac{{\displaystyle 5+12}}{{\displaystyle 20}} \\ \Rightarrow \frac{{\displaystyle 11}}{{\displaystyle 4}}-\left(\frac{{\displaystyle 17}}{{\displaystyle 20}}\right) \\ \Rightarrow \frac{{\displaystyle 5\times 11-17}}{{\displaystyle 20}} \\ \Rightarrow \frac{{\displaystyle 55-17}}{{\displaystyle 20}} \\ \Rightarrow \frac{{\displaystyle 38}}{{\displaystyle 20}} \\ \Rightarrow \frac{{\displaystyle 19}}{{\displaystyle 10}} \end{gathered}$$
Regards,