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	[show answer] $$5\frac{2}{6}\,+\,1\frac{3}{6}\,=$$
Add whole numbers and numerators. Do NOT add denominators!	[show answer] $$6\frac{5}{6}$$
Simplify: reduce and rename	[show answer] 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]

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