72/21 to a mixed number

In order to convert our improper fraction 72/21 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 [21] goes into the numerator [72]. 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 [9].

You may also calculate a remainder by using the whole number we calculated in the first step [3] and multiplying it by the original denominator [21]. And then subtract the result from the original numerator [72]:

3. Get our mixed number. To complete our mixed number we need to take the new numerator from previous step [9] and put it above the original denominator [21], and then put the whole number [3] before it

Simplify the fractional part. The fractional part [9/21] 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 72/21 to the mixed number 3 3/7.