Question

Find 5 rational numbers between $-\frac{1}{3}$ and $\frac{1}{2}$.

Answer 1

$-\frac{1}{3}$ and $\frac{1}{2}$

L.C.M $=6$

$-\frac{1}{3}\times \frac{2}{2}=\frac{-2}{6}$

$\frac{1}{2}\times \frac{3}{3}=\frac{3}{6}$

n $=5+1=6$

multiply $\frac{6}{6}$ to both numbers

$\frac{-2}{6}\times \frac{6}{6}=\frac{-12}{36}$

$\frac{3}{6}\times \frac{6}{6}=\frac{18}{36}$

Five numbers are :-

$\frac{-11}{36},\frac{-10}{36},\frac{-9}{36},\frac{-8}{36},\frac{-7}{36}$