Question

5.bar(2) I need Step by step so please help me.. ​

Answer 1

Answer:

5.2ˉ=5.2222222...

Let a =5.2222222...

Multiply equation 1 by 10, we get

10a = 52.222222222..

Answer 2

Solution :-

Let a = $5. \bar{2} = 5.222$ ---❶

Multiply the equation by 10,

$→10a = 52.222$ ---❷

Now subtract eq. ❷ by eq. ❶,

$→10a - a = 52.222 - 5.222$

$→9a = 47$

$→ \boxed{a = \dfrac{47}{9}}$

Therefore, value of a is $\frac{47}{9}$.