Question

Express 3.8 bar as the rational number in the form of p/q

Answer 1

x=3.88888....
10x = 10×3.8=38.8......
10x-x=38.8888....-3.88888....
9x=35
x=35/9

therefore 35/9 is the rational number of 3.88888....

Answer 2

Answer:

$3.\bar8=\frac{35}{9}$

Step-by-step explanation:

Given : Number 3.8 bar.

To find : Express 3.8 bar as the rational number in the form of p/q.

Solution :  

Number $3.\bar8$

Let $x=3.8888...$ .......(1)

Multiply both side by 10,

$10x=38.888...$ .........(2)

Subtract (1) from (2),

$10x-x=(38.888...)-(3.8888..)$

$9x=35$

$x=\frac{35}{9}$

Therefore, $3.\bar8=\frac{35}{9}$ in form of p/q.