What is the simplest fraction of 500/288?

how do u do hypotenuse

125/72

500/288 = 250/144= 125/72

factors of 125 is five or multiples, but factors of 72 is even numbers, or factors of three. So that must be the simplest fraction (in improper form).

Your question begs for amplification. Repost it asking what you are stumped on, giving details.

OK. I don't understand how to find the prime number to eliminate. I guess what I am looking for is for how you get 125/72 out of 500/288

Relook at my first line.

To find the simplest fraction of 500/288, we need to find the greatest common divisor (GCD) of the numerator and denominator, and then divide both the numerator and denominator by the GCD.

To find the GCD, we can start by listing the factors of both 500 and 288.

For 500: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
For 288: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 144, 288

We can see that the common factors of both 500 and 288 are 1, 2, 4, and 8. The largest common factor is 8.

Now we divide both the numerator and denominator by the GCD:

Numerator: 500 ÷ 8 = 62.5
Denominator: 288 ÷ 8 = 36

Therefore, the simplest fraction of 500/288 is 62.5/36.