Question

0.09
What is the fraction for the decimal expansion above?
1/11
1/9
1/90
9/10

Answer 1

To convert the decimal \(0.09\) into a fraction, recognize that it can be expressed as:

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

Now let's check the answer options provided:

- \( \frac{1}{11} \) is approximately \(0.0909\), which is not equal to \(0.09\).
- \( \frac{1}{9} \) is approximately \(0.1111\), which is not equal to \(0.09\).
- \( \frac{1}{90} \) is approximately \(0.0111\), which is not equal to \(0.09\).
- \( \frac{9}{10} \) is equal to \(0.9\), which is not equal to \(0.09\).

None of the provided options are correct since the exact fraction for \(0.09\) is \(\frac{9}{100}\).