Question

Convert the decimal below to a fraction in simplest form 0.91

Answer 1

To convert the decimal \(0.91\) to a fraction, you can follow these steps:

1. Write \(0.91\) as \(\frac{91}{100}\). This is because \(0.91\) means \(91\) hundredths.
2. 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:

\[
\frac{91}{100}
\]