How do you convert 0.45 into a fraction?

To convert the decimal 0.45 into a fraction, you start by recognizing that the number has two decimal places. This allows you to express it as a fraction over 100, since the first decimal place is tenths and the second is hundredths. Thus, 0.45 can be written as 45 over 100, giving you the fraction 45/100.

This fraction can be further simplified by finding the greatest common divisor of the numerator and the denominator. In this case, both 45 and 100 can be divided by 5, which simplifies to 9/20. However, the question specifically asks for the conversion to a fraction without requiring simplification.

Therefore, the initial conversion of 0.45 to the fraction 45/100 is correct and matches the choice provided. This straightforward approach to conversion captures the essence of how to represent a decimal as a fraction accurately.