Question

0.09

What is the fraction for the decimal expansion above?

A.) 1/11

B.) 1/9

C.) 1/90

D.) 9/10

Answer 1

To convert the decimal 0.09 to a fraction, recognize that 0.09 can also be expressed as 9/100 because it is in the hundredths place.

Now, let's check which fraction from the given options is equivalent to 0.09:

A.) 1/11 = 0.090909... (repeating, not equal to 0.09)
B.) 1/9 = 0.1111... (repeating, not equal to 0.09)
C.) 1/90 = 0.0111... (repeating, not equal to 0.09)
D.) 9/10 = 0.9 (which is greater than 0.09)

None of the options provided exactly represent the decimal 0.09, but if the question implies reducing the equivalent fraction, we can summarize that the answer closest to the theme of fractions would be focusing on recognizing that **0.09 = 9/100**.

Therefore, the options given do not include 9/100.

If you have to choose from the provided options while recognizing none equal 0.09, **none of the choices (A, B, C, D)** are correct for the equivalent of 0.09.