75/31 to a mixed number

In order to convert our improper fraction 75/31 to a mixed number, we need to follow three basic steps:

1. Find the whole number. First we need to calculate how many times the denominator [31] goes into the numerator [75]. To do this we divide the numerator by the denominator:

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [13].

You may also calculate a remainder by using the whole number we calculated in the first step [2] and multiplying it by the original denominator [31]. And then subtract the result from the original numerator [75]:

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [13] and put it above the original denominator [31], and then put the whole number [2] before it

That's it! We have successfully converted the improper fraction 75/31 to the mixed number 2 13/31.