Final answer:
The equivalent fraction to Georgia being 1.45 feet taller than her sister is (20x + 29)/20x.
Step-by-step explanation:
To find the equivalent fraction, we need to determine the relationship between Georgia's height and her sister's height. Let's assume Georgia's sister's height is represented by x feet.
According to the information given, Georgia is 1.45 feet taller, so her height can be represented as x + 1.45 feet. Therefore, the equation becomes:
(x + 1.45)/x
To simplify the fraction, we multiply both the numerator and denominator by 20 to get rid of the decimal:
(x + 1.45)/x * 20/20 = (20x + 29)/20x
The equivalent fraction to the given information is (20x + 29)/20x.