Reciprocals
The following diagram shows how to get the reciprocal of a fraction, whole number and mixed number. Scroll down the page for more examples and solutions on using reciprocals.
The reciprocal of a fraction is a fraction obtained by switching the values in the numerator and the denominator of the given fraction.
The reciprocal of 
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:
What is a reciprocal?
In mathematics, a reciprocal is simply a fraction that has been flipped upside-down. The following video will show how to find the reciprocal of fractions.
How to find the reciprocal of a whole number?
In math, reciprocals are the number needed to multiply by a fraction to get an answer of one. This video shows how to find the reciprocal of a whole number.
What is reciprocal math?
Reciprocal math is simply math that involves the use of reciprocals, which are fractions that are flipped over. This video shows how to use reciprocals when dividing by a fraction and when solving an algebraic equation with a coefficient that is fraction.
Check out our most popular games!
Fraction Concoction Game:
Master fractions in the lab: mix, add, and subtract beakers to create the perfect concoction!
Fact Family Game:
Complete fact families and master the link between addition & subtraction and multiplication & division.
Number Bond Garden:
Clear the board by matching number pairs that sum to ten in this garden-themed mental math puzzle.
Online Addition Subtraction Game:
Practice your addition and subtraction skills to help the penguin find its mummy.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.