Question

Express 0.4 bar as a rational number simplest form

Answer 1

Answer:

Step-by-step explanation:

Let X = (0.4444....). --(1)

Multiply both sides with X

10x = (4.4444....). --(2)

Subtract (1) from (2)

10x-x = (4.44....) - (0.444....)

9x = 4

x = 4/9

Answer 2

$0.\bar{4}=\frac{4}{9}$

Step-by-step explanation:

Given : Expression $0.\bar{4}$

To find : Express expression as a rational number simplest form?

Solution :

Let $x=0.444....$ ....(1)

Multiply both side by 10,

$10x=4.4444....$ .....(2)

Subtract (1) and (2),

$10x-x=(4.444...)-(0.444...)$

$9x=4$

$x=\frac{4}{9}$

Therefore, $0.\bar{4}=\frac{4}{9}$

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