Final answer:
To simplify the fraction (575)/(1000) to its lowest terms, divide both the numerator and the denominator by their greatest common divisor, which in this case is 25, resulting in 23/40.
Step-by-step explanation:
To write the fraction (575)/(1000) in lowest terms, we need to find the greatest common divisor (GCD) of 575 and 1000. Looking at both numbers, we find that both are divisible by 25. We can simplify the fraction by dividing both the numerator and the denominator by 25.
575 ÷ 25 = 23
1000 ÷ 25 = 40
Thus, the fraction 23/40 is the simplification of (575)/(1000) in the lowest terms.