Home › Fractions

Adding fractions

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]

Add whole numbers and numerators. Do NOT add denominators!

[show answer]

Simplify: reduce and rename

[show answer]

 

 

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

 

Duane Habecker, Created with GeoGebra

 

See how addition can be demonstrated using the area model.

For more practice with fractions, please try this Fraction Calculator.

 

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]

 

 

  • share