To convert the decimal \(0.83\) to a fraction, follow these steps:
-
Write the decimal as a fraction: \[ 0.83 = \frac{83}{100} \]
-
Simplify the fraction: We need to check if \(83\) and \(100\) have any common factors. The number \(83\) is a prime number, so its only divisors are \(1\) and \(83\). The number \(100\) is not divisible by \(83\), meaning there are no common factors.
Since there are no common factors other than \(1\), the fraction \(\frac{83}{100}\) is already in its simplest form.
Thus, the decimal \(0.83\) as a fraction in simplest form is: \[ \frac{83}{100} \]