To convert the decimal number 0.36 to a fraction, follow these steps:
1. Identify the decimal places:
0.36 has two decimal places.
2. Express the decimal as a fraction:
Since 0.36 has two decimal places, we can write it as:
[tex]\[
0.36 = \frac{36}{100}
\][/tex]
3. Simplify the fraction (if necessary):
We need to check if the fraction [tex]\(\frac{36}{100}\)[/tex] can be simplified further by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 36 and 100 is 4.
[tex]\[
\frac{36 \div 4}{100 \div 4} = \frac{9}{25}
\][/tex]
However, since the options given are not in the simplified form, we look at the fraction we initially obtained before simplification. The fraction [tex]\(\frac{36}{100}\)[/tex] matches one of the answer choices directly.
Thus, the correct answer is:
[tex]\[
\boxed{\frac{36}{100}}
\][/tex]
