Question

Convert the decimal below to a fraction in simplest form 0.11

Answer 1

To convert the decimal \(0.11\) to a fraction, follow these steps:

1. Recognize that \(0.11\) can be expressed as \(\frac{11}{100}\) because there are two decimal places.

2. Now, we need to check if \(\frac{11}{100}\) can be simplified. The numerator is \(11\) and the denominator is \(100\). The greatest common divisor (GCD) of \(11\) and \(100\) is \(1\) because \(11\) is a prime number and does not divide \(100\).

3. Since the GCD is \(1\), \(\frac{11}{100}\) is already in its simplest form.

Thus, the decimal \(0.11\) as a fraction in simplest form is \(\frac{11}{100}\).