402/15 to a mixed number

In order to convert our improper fraction 402/15 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 [15] goes into the numerator [402]. 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 [12].

You may also calculate a remainder by using the whole number we calculated in the first step [26] and multiplying it by the original denominator [15]. And then subtract the result from the original numerator [402]:

3. Get our mixed number. To complete our mixed number we need to take the new numerator from previous step [12] and put it above the original denominator [15], and then put the whole number [26] before it

Simplify the fractional part. The fractional part [12/15] can still be reduced. Divide both its numerator and denominator by their greatest common factor [3]:

That's it! We have successfully converted the improper fraction 402/15 to the mixed number 26 4/5.