Question

find a rational no between 1/3 and 2/7​

Answer 1

Here is your ans

The rational numbers between1/3 and 2/7 are 7/21,6/21,13/42 etc.

Answer 2

Answer:

The required rational numbers can be $\frac{6}{21} ,\frac{7}{21},\frac{13}{42} ,...$

Step-by-step explanation:

Given, $\frac{1}{3}$ and $\frac{2}{7}$

The rational number between $a$ and $b$ is $\frac{a+b}{2}$

Hence rational number between $\frac{1}{3}$ and $\frac{2}{7}$ is $\frac{\frac{1}{3}+\frac{2}{7} }{2}$

⇒ $\frac{7+6}{21(2)}$

⇒ $\frac{13}{42}$

LCM of $3$ and $7$ is $21.$

Make the two rational like

$\frac{1(7)}{3(7)}$ and $\frac{2(3)}{7(3)}$ we get $\frac{7}{21}$ and $\frac{6}{21} .$

Hence the required rational numbers can be $\frac{6}{21} ,\frac{7}{21},\frac{13}{42} ,...$