Question

Find 10 rational numbers between $\frac{-3}{4}$ and $\frac{5}{6}$

Answer 1

$\frac{-3}{4},\frac{5}{6}$

LCM of 4 and 6 = 12

$\frac{-3}{4}=\frac{-3\times 3}{4\times 3}=\frac{-9}{12}$

and $\frac{5}{6}=\frac{5\times 2}{6\times 2}=\frac{10}{12}$

10 rational number can be between $\frac{-3}{4},\frac{5}{6}$

$=\frac{-8}{12},\frac{-7}{12},\frac{-6}{12},\frac{-5}{12},\frac{-4}{12},\frac{-3}{12},\frac{-2}{12},\frac{-1}{12},0$ and $\frac{1}{12}$