Multiplying fractions
|
It is a three-step process to multiply mixed numbers:
$$3\frac{1}{3}\times~\,2\frac{1}{4}\,=$$ |
Click here for the |
|
| Convert mixed numbers into fractions | $$\frac{10}{3}\times~\,\frac{9}{4}\,=$$ | |
| Multiply across | $$\frac{90}{12}\,=$$ | |
| Simplify: reduce and rename | $$\frac{90}{12}\,=\,\frac{30}{4}\,=\,\frac{15}{2}\,=\,7\frac{1}{2}$$ | |
Example
| The problem | $4\frac{1}{2}\times~2\frac{1}{6}\,=$ |
| Convert mixed numbers into fractions | $\frac{9}{2}\times~\frac{13}{6}\,=$ |
| Multiply across | $\frac{117}{12}\,=$ |
| Simplify: reduce and rename | $\frac{117}{12}\,=\,\frac{39}{4}\,=\,9\frac{3}{4}$ |
Example
| The problem | $1\frac{1}{4}\times~3\frac{3}{5}\,=$ |
| Convert mixed numbers into fractions | |
| Multiply across | |
| Simplify: reduce and rename |
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
For more practice with fractions, please try this Fraction Calculator.
Self-Check
Q1: $\,\,\,5\frac{1}{2}\,\times~\,1\frac{1}{3}\,=\,\,\,\,$ [show answer]
Q2: $\,\,\,2\frac{4}{5}\,\times~\,1\frac{1}{6}\,=\,\,\,\,$ [show answer]
Q3: $\,\,\,5\frac{1}{2}\,\times~\,2\frac{1}{5}\,=\,\,\,\,$ [show answer]
