The generating fraction of the decimal number 4.5, can be found to be 9 / 2.
How to find the generating fraction?
To find the generating fraction of the decimal number 4.5, you can first recognize that 4.5 can be expressed as a mixed number, which consists of a whole number part and a fractional part.
The whole number part, which is 4, can be written as 4/1 because any whole number can be expressed as a fraction with a denominator of 1. Then, for the fractional part, we have 1/2.
Rewrite 4 as 8/2, since 4 is equivalent to 8/2 when the denominator is 2, and the expression becomes:
= 8/2 + 1/2
= 9 / 2
Therefore, the generating fraction of the decimal number 4.5 is 9/2.