Video and Examples

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


 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}




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}



The problem 1\frac{1}{4}\times~3\frac{3}{5}\,=
Convert mixed numbers into fractions [show answer]
Multiply across [show answer]
Simplify: reduce and rename [show answer]


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.



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]


Last modified: Thursday, 16 April 2020, 2:17 PM