Question

Find rational number between -1/6and -3/2

Answer 1

Hey,

We have to obtain a rational number between two rational numbers.

The most simple and easiest method is mean method.

According to this, if a and b are two integers then $\frac{a + b}{2}$ is a rational number between them.
So,

Rational Number between -1/6 and -3/2 
$= \frac{ \frac{-1}{6} + \frac{-3}{2}}{2}$
$= \frac{ \frac{-1 - 9}{6} }{2} \\ =\frac{ \frac{-10}{6}}{2} \\ = \frac{-10}{6} X \frac{1}{2}$
$= \frac{-5}{6}$

Hence, a rational number between -1/6 and -3/2 is -5/6.


Hope it helpss