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?