To simplify the fraction 34/100, you need to find the greatest common divisor (GCD) of the numerator (34) and the denominator (100).
The factors of 34 are 1, 2, 17, and 34. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. The largest common factor between these two sets is 2.
Now, divide both the numerator and the denominator by their GCD (which is 2):
- 34 ÷ 2 = 17
- 100 ÷ 2 = 50
So, when you simplify 34/100, you get 17/50. Therefore, 34/100 in simplest form is 17/50.