Question

Express 6.2158 bar on 158 in the form of p/q.

Answer 1

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Answer 2

Answer:

$\text{The answer is x =}\frac{6209}{9990}$

Step-by-step explanation:

Given the number $6.2\bar{158}$

we have to express the given number in rational number.

Let x = 6.2158158......  →   (1)

Multiply both sides by 1000,

1000x = 6215.8158158......  →   (2)

Subtract equation 1 by 2

$1000x - x = 6209.6$

$999x = 6209.6$

$x = \frac{6209.6}{999}=\frac{6209}{9990}$

$\text{The answer is x =}\frac{6209}{9990}$