Question

Write 0.09 as a fraction.

A)
1/11
B)
1/7
C)
1/99
D)
1/9

Answer 1

the answer is none of them because if you do 0.09 as fraction, it will be 9/100 and you cant simplify that

Answer 2

0.090909... = 1/11

Explanation:

There is a bar over the 09.

Let x = 0.090909...

Then 100x = 9.090909...

Now subtract the first equation from the second equation.

100x = 9.090909...

- x = 0.090909...

-----------------------------

99x = 9

Divide both sides by 9.

11x = 1

x = 1/11

0.090909... = 1/11