Question

Find five rational number between 3/4 and 4/3

Answer 1

To find:

Five rational numbers between 3/4 and 4/3

Solution:

First off, we make the fractions like by making the denominators equal.

LCM of 4 and 3 = 12

$\sf{\dfrac{3}{4}=\:\dfrac{3\times3}{4\times3}=\:\dfrac{9}{12}}$

$\sf{\dfrac{4}{3}=\:\dfrac{4\times4}{3\times4}=\:\dfrac{16}{12}}$

Now we can easily get the required rational numbers by choosing any five numbers between the numerators 9 and 16.

$\sf{=\dfrac{10}{12},\:\dfrac{11}{12},\:\dfrac{12}{12},\:\dfrac{13}{12},\:\dfrac{14}{12}}$

$\sf{So,\:five\:rational\:numbers\:between\:\dfrac{3}{4}\:and\:\dfrac{4}{3}\:are\:=\dfrac{5}{6},\:\dfrac{11}{12},\:1,\:\dfrac{13}{12},\:\dfrac{7}{6}}$