Question

The Number System Unit Test

Convert 0.72 to a rational number in simplest form. (1 point)

Answer 1

To convert the decimal 0.72 to a rational number, we can express it as a fraction. Since there are two digits after the decimal point, we can write:

\[
0.72 = \frac{72}{100}
\]

Next, we can simplify this fraction. Both the numerator and the denominator can be divided by their greatest common divisor (GCD), which is 4 in this case:

\[
\frac{72 \div 4}{100 \div 4} = \frac{18}{25}
\]

Thus, the simplest form of the rational number that represents 0.72 is:

\[
\frac{18}{25}
\]

So, the final answer is \( \frac{18}{25} \).