Question

Convert the decimal below to a fraction in simplest form.
0, point, 3, 3
0.33

Answer 1

To convert the decimal \( 0.33 \) to a fraction, we can follow these steps:

1. **Write the decimal as a fraction**:
\[
0.33 = \frac{33}{100}
\]
This is because there are two decimal places, so we use \( 100 \) as the denominator (10 raised to the power of the number of decimal places).

2. **Simplify the fraction**:
We need to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of \( 33 \) and \( 100 \) is \( 1 \), since \( 33 \) (which is \( 3 \times 11 \)) and \( 100 \) (which is \( 10 \times 10 \) or \( 2^2 \times 5^2 \)) have no common factors.

3. **Conclusion**:
Therefore, the fraction \( \frac{33}{100} \) is already in its simplest form.

The simplest form of \( 0.33 \) as a fraction is:

\[
\frac{33}{100}
\]