187/208 change to a fraction in simplest form
To simplify 187/208, we can divide both the numerator and the denominator by their greatest common factor, which is 13.
187 ÷ 13 = 14 and 208 ÷ 13 = 16
Therefore, 187/208 simplified to its simplest form is:
14/16
We can simplify this further by dividing both the numerator and the denominator by their greatest common factor, which is 2.
14 ÷ 2 = 7 and 16 ÷ 2 = 8
Therefore, 187/208 simplified to its simplest form is:
7/8
To write 187/208 as a fraction in simplest form, we need to find the greatest common divisor (GCD) between the numerator and denominator and then divide both the numerator and denominator by that GCD.
The prime factorization of 187 is 11 * 17.
The prime factorization of 208 is 2^4 * 13.
The greatest common divisor is the product of the common prime factors raised to the lowest power, in this case, 1.
So, the GCD is 1.
Dividing both the numerator and denominator by the GCD:
187 ÷ 1 = 187
208 ÷ 1 = 208
Thus, the fraction 187/208 is already in its simplest form.