Question

Express 2.8 (bar on 8) in the form of p/q, where p and q are integers and q is not equal to 0

Answer 1

x= 2.888----+(1)
100x=288.8----(2)
100x-10x=288.8-2.888
90x=276
x=276/90

Answer 2

Answer:

$2.\bar{8}=\frac{26}{9}$

Step-by-step explanation:

Given :  Number 2.8(bar on 8)

To find : Express number in the form of p/q, where p and q are integers and q is not equal to 0 ?

Solution :

Let $x=2.88888.....$  .......(1)

Multiply both side by 10,

$10x=28.8888.....$  .........(2)

Subtract (1) and (2),

$10x-x=(28.8888.....)-(2.88888.....)$

$9x=26$

$x=\frac{26}{9}$

Therefore, $2.\bar{8}=\frac{26}{9}$