How to make a mixed number a improper fraction

A mixed number of the form can be turned into an improper fraction by using the fact that a mixed number is really het whole number plus its fraction part, so

Then do the usual procedure for adding fractions via common denominator.

For example, to convert the mixed number into an improper fraction, we have

To add , we need to have a denominator of 4, so we multiply the numerator and denominator by 4 to get

Therefore,