Question

express 0.4 pa bar in the form of p/q where P and q are integers and q≠0

Answer 1

4/9

Step-by-step explanation:

eq1 -x=0.4(bar on 4). eq2-10x=4.4(bar on 4 after point). eq2-eq1. 10x-x=0.4-4.4(bars on 4 after point). bar 4 Will be subtracted to 0 which will give 4.0 10x-x=9x. 9x=4.0 x=4 upon 9

Answer 2

Answer:

$\text{The fraction form is }\frac{4}{9}$

Step-by-step explanation:

Given the number 0.4444.....

$\text{we have to express in the the above number in the form of }\frac{p}{q}$

$\text{Let }x=0.4444....$    →   (1)

Multiply above equation throughout by 10, we get

$10x=4.4444....$   →     (2)

Subtract equation 1 from 2, we get

$9x=4$

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

$\text{Hence, the fraction form is }\frac{4}{9}$