Answer: 2/5
Step-by-step explanation: To simplify a fraction, we first need to understand what simplifying a fraction does.
Simplifying a fraction means rewriting a fraction using the smallest top and bottom numbers we can. It's important to understand that when we do this, we are not changing the value of that fraction.
To write the fraction 36/90 in lowest terms, we divide the numerator and the denominator by the greatest common factor of 36 and 90.
Since the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36 and the factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90, the greatest common factor between these two numbers is 18.
This means that we divide the numerator and the denominator of 36/90 by 18 and we end up with the equivalent fraction 2/5.
Therefore, the fraction 36/90 can be rewritten as 2/5.
