To convert the decimal \(0.91\) to a fraction, you can follow these steps:
- Write \(0.91\) as \(\frac{91}{100}\). This is because \(0.91\) means \(91\) hundredths.
- Now, simplify the fraction \(\frac{91}{100}\).
Next, we check for any common factors between \(91\) and \(100\):
- The prime factorization of \(91\) is \(7 \times 13\).
- The prime factorization of \(100\) is \(2^2 \times 5^2\).
Since \(91\) and \(100\) have no common factors, this means that \(\frac{91}{100}\) is already in its simplest form.
Thus, the simplest form of the decimal \(0.91\) as a fraction is:
\[ \frac{91}{100} \]