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Multiplication of Fractions

Multiplication of fractions involves the following steps:

  • express any mixed numerals as improper fractions
  • divide the terms in the numerator and denominator by their Highest Common Factor (HCF), vertically or diagonally
  • multiply the numerator, then multiply the denominators

 

Examples of multiplication of fractions:

Example 1: {2/3}~*~{1/3}

=  {2~*~1}/{3~*~3}

=  2/9

 

Example 2: {4/5}~*~{3/14}

=  {4~*~3}/{5~*~14}

=  {2~*~3}/{5~*~7}

=  6/35

 

Example 3: {16/3}~*~{2/5}

=  {16~*~2}/{3~*~5}

=  32/15

=  22/15

 

Example 4:  21/4 x 32/3

Change both the mixed numerals into improper fractions.

So 21/4 x 32/3

=  {9/4}~*~{11/3}

=  {9~*~11}/{4~*~3}

=  {3~*~11}/4  =  33/4

=  81/4 (change back to mixed numerals)

 

Example 5: 23/5 x 3

=  13/5 x 3

=  13/53/1

=   {13~*~3}/{5~*~1}

= 39/5

 

 

You can learn about division of fractions here