Question

6/8 and 9/8 find the five rarional nos between the following

Answer 1

Given:

$\sf{\dfrac{6}{8}\:and\:\dfrac{9}{8}}$

To find:

Five rational numbers between them

Solution:

We are give two rational numbers which are already like, but the most we will be able to find is two rational numbers between them.

Therefore, we further multiply them:

$\sf{\dfrac{6}{8}=\:\dfrac{6\times2}{8\times2}=\:\dfrac{12}{16}}$

$\sf{\dfrac{9}{8}=\:\dfrac{9\times2}{8\times2}=\:\dfrac{18}{16}}$

$\sf{Rational\:numbers\:between\:\dfrac{12}{16}\:and\:\dfrac{18}{16}=\dfrac{13}{16},\:\dfrac{14}{16},\:\dfrac{15}{16},\:\dfrac{16}{16},\:\dfrac{17}{16}}$

Therefore, five rational numbers between 6/8 and 9/8 are 13/6, 7/8, 15/6, 1, 17/6.