Answer:
Step-by-step explanation:
A decimal is by definition a number between two whole numbers. Specifically, the decimal 0.75 is between 0 and 1. It is a fraction of the number 1. We have that:
[tex]0.75=\frac{0.75}{1.00}=75/100[/tex]
We can reduce the fraction by dividing the top and bottom by 25 to get:
[tex]75/100=3/4[/tex]
The correct way to prove 3/4 is rational would probably be to do long division, to see how many times 4 goes into 3. You would get 0.75 times which is rational