Question

If a numerator is 2 less than denominator of a rational number and when 1 is subtracted from numerator and denominator both, the rational number in its simplest form is 1/2. What is the rational number?

Answer 1

$$\begin{gathered} \mathrm{Hi}, \\ \mathrm{Let}\mathrm{the}\mathrm{fraction}\mathrm{is}\frac{\mathrm{x}}{\mathrm{y}}\mathrm{so} \\ \mathrm{according}\mathrm{to}\mathrm{the}\mathrm{question}, \\ \mathrm{x}=\mathrm{y}-2 \\ \mathrm{and} \\ \frac{\mathrm{x}-1}{\mathrm{y}-1}=\frac{1}{2} \\ 2\mathrm{x}=\mathrm{y}+1 \\ \mathrm{putting}\mathrm{value}\mathrm{of}\mathrm{x} \\ 2\mathrm{y}-4=\mathrm{y}+1 \\ \mathrm{y}=5 \\ \mathrm{so}\mathrm{x}=3 \\ \mathrm{so}\mathrm{fraction}\mathrm{is}3/5 \\ \mathrm{Regards} \end{gathered}$$