Question

Write 23.426bar in the form p/q.

Answer 1

let x =23.42666 eq 1
multiply x by 10
10x=23eq 2
now subtract eq 2 from 1
10x -x=234266.6-23.42666
9x =23402.17334
x=23402.17334/9

Answer 2

Answer:

$\frac{422}{999}$

Step-by-step explanation:

Let,

$x=4.\overline{426}$

$\implies x = 4.426426426426426.......$ ---------(1)

By multiplying 1000 on both sides,

$1000 x = 426.426426426426.......$---------(2),

Equation (2) - Equation (1),

$999x=422$

$x=\frac{422}{999}$

Hence,

$4.\overline{426}=\frac{422}{999}$

Where, both 422 and 99 are integers,

And, 999 ≠ 0,