Adding and Subtracting Mixed Numbers

A mixed number is a whole number combined with a fraction, such as 2 1/3.

To add mixed numbers, first add the whole numbers, then add the fractions. If the fraction sum is improper, convert it to a mixed number.

To subtract mixed numbers, first subtract the whole numbers, then subtract the fractions. If the fraction from the first number is smaller than the second, borrow from the whole number.

The first step is to find a common denominator.

A common denominator is a number that is a multiple of the denominators of two or more fractions.

Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator over the original denominator.

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and the denominator by their greatest common factor (GCF).

The GCF of 8 and 12 is 4.

The sum is 2 1/6 or 13/6.