It is a three-step process to add two mixed numbers.

$$2\frac{1}{3}\,+\,1\frac{3}{4}\,=$$

 Rename fractions with a common denominator $$2\frac{4}{12}\,+\,1\frac{9}{12}\,=$$ Add whole numbers and numerators. Do NOT add denominators! $$3\frac{13}{12}$$ Simplify: reduce and rename $$3\,+\,1\frac{1}{12}\,=\,4\frac{1}{12}$$

Now you try it on this problem.

$$5\frac{1}{3}\,+\,1\frac{1}{2}\,=$$

 Rename fractions with a common denominator $$5\frac{2}{6}\,+\,1\frac{3}{6}\,=$$ Add whole numbers and numerators. Do NOT add denominators! $$6\frac{5}{6}$$ Simplify: reduce and rename not needed

Duane Habecker, Created with GeoGebra

# Self-Check

Q1: $\,\,\,\,\,5\frac{2}{3}\,+\,2\frac{1}{4}\,=\,\,\,$ [show answer]

Q2: $\,\,\,\,\,5\frac{1}{3}\,+\,1\frac{1}{2}\,=\,\,\,$ [show answer]

Q3: $\,\,\,\,\,8\frac{4}{5}\,+\,2\frac{2}{3}\,=\,\,\,$ [show answer]