Question

find an irrational number between 1/7 and 2/7​

Answer 1

$\huge{\color{magenta}{ \fcolorbox{magenta}{black} {\huge {\color{white}{\fcolorbox{aqua}{black} { Question }}}}}}$

Find an irrational number between 1/7 and 2/7

$\huge\mathbb\fcolorbox{purple}{lavenderblush}{✰Answer}$

On dividing 1 by 7, we get :-

= 0.142857142857

$= > \frac{1}{7} = 0.142857$

$\frac{2}{7} =2 \times \frac{1}{7} = 0.285714285714$

$= > \frac{2}{7} = 0.285714$

To find a irrational number between 1/7 and 2/7, we find numbers which are non- terminating and non-repeating.

★There are such infinite numbers.

★Two of them may be considered as 0.150150015000…, 0.220220022000…

★Now, you may take any one of them.

Hope it's helpful!

Answer 2

$\underline \bold \red{ Question }$

Find an irrational number between 1/7 and 2/7.

$\underline\mathfrak \red{ Solution }$

$\frac{1}{7} =$0.14285714 ( nearly )

$\frac{2}{7} =$0.285714280 ( nearly )

↪Irrational numbers between $\frac{1}{7}$ and $\frac{2}{7}$are :-

0.150500500050000 . . . . .

0.20200200020000. . . . . .