Question

Express 0.28 bar as rational number in the simplest form

Answer 1

$28 \div 100 \\ 14 \div 50 \\ 7 \div 25$

Answer 2

Answer:

$\text{The answer is x =}\frac{28}{99}$

Step-by-step explanation:

Given the number $0.\bar{28}$

we have to express the given number in rational number.

Let x = 0.282828.....  →   (1)

Multiply both sides by 100,

100x = 28.282828..... →   (2)

Subtract equation 1 by 2

$100x - x = 28$

$99x = 28$

$x = \frac{28}{99}$

$\text{The answer is x =}\frac{28}{99}$