Question

0.09
What is the fraction for the decimal expansion above?
9 over 10
A

1 over 11
B

1 ninth
C

1 over 90
D

Answer 1

To convert the decimal \(0.09\) into a fraction, we can express it as:

\[
0.09 = \frac{9}{100}
\]

Now, let's look at the answer choices:

- \( \frac{9}{10} \) (A)
- \( \frac{1}{11} \) (B)
- \( \frac{1}{9} \) (C)
- \( \frac{1}{90} \) (D)

None of the answer choices are \( \frac{9}{100} \). However, we can find a choice that is equivalent to \(0.09\) by simplifying \( \frac{9}{100} \):

None of the options \(A\), \(B\), or \(C\) equivalently simplify to \(0.09\).

Thus, if we want to compare it with the options, it's evident that \(0.09\) is \(9/100\) which is not among the provided choices.

In terms of decimals:
- \( \frac{9}{10} = 0.9\)
- \( \frac{1}{11} \approx 0.0909\) (periodic)
- \( \frac{1}{9} \approx 0.111\)
- \( \frac{1}{90} \approx 0.0111\)

The closest correct representation of \(0.09\) as a fraction is indeed \( \frac{9}{100} \).

Thus, none of the provided answers are correct for \(0.09\). Would you like assistance with any other questions?