Convert 0.72 to a Reduced Fraction: Decimal Transformation

To convert the decimal number $0.72$ to a fraction, we need to consider the place value of the decimal.

The number $0.72$ has two decimal places. This means it can be expressed as $\frac{72}{100}$, because the 72 is situated in the hundredths place.

Next, we need to simplify this fraction by finding the greatest common divisor (GCD) of 72 and 100. The GCD of 72 and 100 is 4. We divide both the numerator and the denominator by this GCD:

$\frac{72}{100} = \frac{72 \div 4}{100 \div 4} = \frac{18}{25}$

Thus, the fraction $\frac{18}{25}$ is the simplest form of the decimal $0.72$.

Therefore, the solution to the problem is $\frac{18}{25}$.