Question

Express 0.444... in the form of p/q, where p and q are integer and q to?​

Answer 1

Answer:

4/9

Step-by-step explanation:

0.4444.... = 0.4(bar).

Let 0.4(bar) = a ... (1)

As there is only 1 number under bar, multiply by 10.

=> 10 * 0.4(bar) = 10 * a

=> 4.4(bar) = 10a

Subtract (1) from this,

4.4bar = 10a

-0.4bar = - a

4 = 9a

=> 4 = 9a => 4/9 = a = 0.4bar