Question

The repeating decimal, 0.27..., is converted to the fraction 0.27..=3/x

Answer 1

Answer:

The required number in the fraction is x=11

Step-by-step explanation:

Given : The repeating decimal, 0.27..., is converted to the fraction  $0.27....=\frac{3}{x}$            

To find : What is the value for x in the fraction ?

Solution :

Let $y=0.272727...$ ....(1)

Multiply both side by 100,

$100y=27.2727...$ .....(2)

Subtract (1) and (2),

$100y-y=(27.2727....)-(0.272727...)$

$99y=27$

$y=\frac{27}{99}$

$y=\frac{3}{11}$

On comparing with $0.27....=\frac{3}{x}$

The value of x is 11.

Therefore, The required number in the fraction is x=11.

Answer 2

I think the answer to your question is 11.11 I hope this helps