Final answer:
The fraction 9/45 can be simplified to its lowest terms by dividing both the numerator and the denominator by their greatest common divisor, which is 9, resulting in the simplified fraction of 1/5.
Step-by-step explanation:
To simplify the fraction 9/45 to its lowest terms, you need to find the greatest common divisor (GCD) that divides both the numerator and the denominator evenly. For 9 and 45, the GCD is 9. Therefore, you should divide both the numerator and the denominator by 9. When you do this, you get:
9 ÷ 9 = 1
45 ÷ 9 = 5
So, the fraction 9/45 simplified to its lowest terms is 1/5. To check if this is reasonable, ensure that the simplified fraction is proportionate to the original fraction, and that is indeed the case here.