Question

What is the decimal representation of 5/11

Answer 1

0.45 is the answer but 
0.45454545454is it

Answer 2

Answer:

$\dfrac{5}{11}=0.\overline{45}$

Step-by-step explanation:

Given: $\dfrac{5}{11}$

We need to change given fraction into decimal.

$x=\dfrac{5}{11}-------(1)$

$11x=5$

Multiply both sides by 9

$99x=45-----------(2)$

Add equation (1) and (2)

$99x+x=45+\dfrac{5}{11}$

$100x=45.45.....$

Divide both sides by 100

$x=0.454545.....$

$\dfrac{5}{11}=0.454545.......=0.\overline{45}$