Question

Find four rational numbers between $\frac{1}{2}$ and $\frac{3}{4}$

Answer 1

Find the required rational numbers

Make the denominator same by multiplying and divide $\frac{1}{2}$with $10$ and $\frac{3}{4}$with $5$

$$\begin{gathered} \Rightarrow \frac{1}{2}=\frac{1}{2}\times \frac{10}{10}=\frac{10}{20} \\ \Rightarrow \frac{3}{4}=\frac{3}{4}\times \frac{5}{5}=\frac{15}{20} \end{gathered}$$

So the required rational numbers are $\frac{11}{20},\frac{12}{20},\frac{13}{20},\frac{14}{20}$

Hence the four rational numbers between $\frac{1}{2}$and $\frac{3}{4}$ are $\frac{11}{20},\frac{12}{20},\frac{13}{20},\frac{14}{20}$