The reciprocal of a fraction is the fraction turned upside
down. That is the numerator becomes the denominator and the denominator becomes
the numerator, examples:
The reciprocal of
The reciprocal of or 8.
To get the reciprocal of a mixed number, first convert to improper fraction and then invert, for example:
The reciprocal of is
Any number multiplied by its reciprocal will always be 1, for example:
Complex Fractions
A complex fraction is a fraction within a fraction. If we have a fraction as the numerator, then the denominators are to be multiplied to get the simplified fraction.
For example:
If we have a fraction as the denominator, then the top numerator is multiplied with the reciprocal of the denominator to get the simplified fraction.
For example:
The following video show more examples of reciprocals, dividing fractions and simplifying complex fractions.