Question

Find $3$ rational numbers between $\frac{1}{6}$ and $\frac{1}{7}$.

Answer 1

Given rational numbers are $\frac{1}{6}$ and $\frac{1}{7}$ :

L.C.M of $(6,7)=6\times 7=42$

Now making the denominators equal, we multiply with $70$ and $60$ respectively.

$\Rightarrow \frac{1}{6}\times \frac{70}{70}=\frac{70}{420}$

$\Rightarrow \frac{1}{7}\times \frac{60}{60}=\frac{60}{420}$

the three rational numbers between $\frac{60}{420}$ and $\frac{70}{420}$ are $\frac{64}{420},\frac{67}{420},\frac{69}{420}$