express 0.45 as a fraction explain how u know your answer is correct

To express 0.45 as a fraction, we need to convert the decimal form to a fractional form.

First, let's note that 0.45 is equivalent to "forty-five hundredths" or "45 over 100".

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5 in this case:

45 ÷ 5 = 9
100 ÷ 5 = 20

Therefore, the fraction equivalent to 0.45 is 9/20.

We can verify that our answer is correct by converting the fraction 9/20 back into decimal form:

9 ÷ 20 = 0.45

Since our calculation gives us the original decimal value of 0.45, we can conclude that the fraction 9/20 is indeed correct.