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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]
$$5\frac{2}{6}\,+\,1\frac{3}{6}\,=$$
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| Add whole numbers and numerators. Do NOT add denominators! |
[show answer]
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| Simplify: reduce and rename |
[show answer]
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Directions:
- Use the sliders at the bottom to build the problem.
- Slide point A onto point B to see how to rename the fractions with a common denominator (not necessarily the lowest common denominator).
- Once you think you understand how to add fractions, try it on paper first, and then check your answer with the applet.
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Duane Habecker, Created with GeoGebra
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For more practice with fractions, please try this Fraction Calculator.
Self-Check
Q1: $\,\,\,\,\,5\frac{2}{3}\,+\,2\frac{1}{4}\,=\,\,\,$ [show answer]
$7\frac{11}{12}$
Q2: $\,\,\,\,\,5\frac{1}{3}\,+\,1\frac{1}{2}\,=\,\,\,$ [show answer]
$6\frac{5}{6}$
Q3: $\,\,\,\,\,8\frac{4}{5}\,+\,2\frac{2}{3}\,=\,\,\,$ [show answer]
$11\frac{7}{15}$
