Question

Express 12.28 bar in rational form p/q

Answer 1

Your answer is here please don t mind my handwriting

Answer 2

Answer:

Number in p/q form is $12.\bar{28}=\frac{1216}{99}$

Step-by-step explanation:

Given : Number 12.28 bar.

To find : Express 12.28 bar in rational form p/q?

Solution :

Let $x=12.\bar{28}$

$x=12.282828...$ .....(1)

Multiply equation (1) by 100,

$100x=1228.2828...$ ......(2)

Subtract equation (1) and (2),

$100x-x=(1228.2828...)-(12.282828...)$

$99x=1216$

$x=\frac{1216}{99}$

Therefore, Number in p/q form is $12.\bar{28}=\frac{1216}{99}$