Question

Find a rational number between 3 and 4

Answer 1

Dear Student,
Step 1:
To get "n" rational numbers between two numbers, we must make their denominator same by using LCM of the two denominator.
Since, 3 and 4, both have same denominators

Step 2:
After Step 1, we multiply and divide both the numbers by 'n+1'

$$\begin{gathered} \Rightarrow \mathrm{Ist}\mathrm{number}=\mathrm{a}\times \frac{\mathrm{n}+1}{\mathrm{n}+1}=3\times \frac{2}{2}=\frac{6}{2}.......\mathrm{n}=1 \\ \Rightarrow 2\mathrm{nd}\mathrm{number}=\mathrm{b}\times \frac{\mathrm{n}+1}{\mathrm{n}+1}=4\times \frac{2}{2}=\frac{8}{2}.......\mathrm{n}=1 \\ \mathrm{Thus},1\mathrm{rational}\mathrm{number}\mathrm{between}3\mathrm{and}4\mathrm{is}\frac{7}{2} \end{gathered}$$

Regards