Simplifying the fraction 35/12 involves reducing it to its simplest form. To do this, we need to find the greatest common divisor (GCD) of the numerator (35) and the denominator (12).
The factors of 35 are 1, 5, 7, and 35. The factors of 12 are 1, 2, 3, 4, 6, and 12. The only common factor they share is 1. This means that the GCD of 35 and 12 is 1.
Since the GCD is 1, the fraction 35/12 is already in its simplest form. Therefore, we cannot reduce it any further. The fraction can also be represented as a mixed number:
35 divided by 12 equals 2 with a remainder of 11. So, 35/12 can be expressed as:
2 11/12
In conclusion, the fraction 35/12 cannot be simplified further but can be expressed as the mixed number 2 11/12.