46/13 to a mixed number

In order to convert our improper fraction 46/13 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 [13] goes into the numerator [46]. 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 [7].

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 [13]. And then subtract the result from the original numerator [46]:

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [7] and put it above the original denominator [13], and then put the whole number [3] before it

That's it! We have successfully converted the improper fraction 46/13 to the mixed number 3 7/13.