Fraction simplest 12 over 210

12/210 = 6/105 = 2/35

12/210 in the simplest form

To simplify the fraction 12/210, 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.

Step 1: Find the GCD of 12 and 210.
To calculate the GCD, we can use various methods such as prime factorization or Euclid's algorithm. In this case, we'll use Euclid's algorithm:

By dividing 210 by 12, we get a quotient of 17 and a remainder of 6.
12 = 17 * 0 + 6

Then we divide 12 by the remainder (6), which gives a quotient of 2 and a remainder of 0.
6 = 2 * 3 + 0

Since the remainder is now zero, the divisor at this step (2) is the GCD.

Step 2: Divide both the numerator and denominator by the GCD.
Dividing 12 by 2 yields 6, and dividing 210 by 2 yields 105. Thus, the simplified fraction is 6/105.

Therefore, 12/210 simplifies to 6/105.