Find 10 rational numbers between -3/4 and 5/6.

Question

Find 10 rational numbers between \(\frac{-3}{4}\) and \(\frac{5}{6}.\)

Answer 1

We can write \(\frac{-3}{4}\) as \(\frac{-9}{12}\) (Since, \(\frac{-3}{4}\) \(=\frac{-3\times3}{4\times3}=\frac{-9}{12})\) 

And,

We can write \(\frac{5}{6}\) as \(\frac{10}{12}\) (Since, \(\frac{5}{6}\) = \(\frac{5\times2}{6\times2}=\frac{10}{12})\)

Now clearly, rational numbers between them are,

Any 10 rational numbers are,