Final answer:
To write thirty-four fourteenths as a mixed number in its simplest form, divide the numerator by the denominator and simplify if possible.
Step-by-step explanation:
To write thirty-four fourteenths as a mixed number in its simplest form, we need to divide the numerator (34) by the denominator (14). The quotient will be the whole number part of our mixed number, and the remainder will be the numerator of the fractional part.
34 divided by 14 is equal to 2, with a remainder of 6. Therefore, thirty-four fourteenths can be written as the mixed number 2 6/14. However, we can simplify this further.
The greatest common divisor (GCD) of 6 and 14 is 2. By dividing both 6 and 14 by 2, we get 3 and 7 respectively. So, the simplest form of thirty-four fourteenths as a mixed number is 2 3/7.
Learn more about Writing mixed numbers in simplest form