This short video will demonstrate how to multiply fractions and mixed numbers. Sample: $3\frac{1}{3}\times~\,2\frac{1}{4}\,=$

It is a three-step process to multiply mixed numbers:

1. Convert mixed numbers into fractions
2. Multiply across
3. Simplify: reduce and rename

$3\frac{1}{3}\times~\,2\frac{1}{4}\,=$

 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

Example

What if one of your numbers is a whole number instead of a mixed number?

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]