Question
Convert 0.72 to a rational number in simplest form. (1 point)
Answers
GPT-4o mini
To convert the decimal 0.72 to a rational number, we can express it as a fraction.
0.72 can be written as:
\[
\frac{72}{100}
\]
Next, we simplify this fraction. Both the numerator (72) and the denominator (100) can be divided by their greatest common divisor (GCD), which is 28.
Dividing both the numerator and the denominator by 4:
\[
\frac{72 \div 4}{100 \div 4} = \frac{18}{25}
\]
Thus, the decimal 0.72 as a rational number in simplest form is:
\[
\frac{18}{25}
\]
0.72 can be written as:
\[
\frac{72}{100}
\]
Next, we simplify this fraction. Both the numerator (72) and the denominator (100) can be divided by their greatest common divisor (GCD), which is 28.
Dividing both the numerator and the denominator by 4:
\[
\frac{72 \div 4}{100 \div 4} = \frac{18}{25}
\]
Thus, the decimal 0.72 as a rational number in simplest form is:
\[
\frac{18}{25}
\]