Reciprocal of a Fraction

To get the reciprocal of a fraction, just turn it upside down.

Like this (press play button):

Fractions

A Fraction (such as 3/4) has two numbers:
Numerator
Denominator

We call the top number the Numerator, it is the number of parts we have.
We call the bottom number the Denominator, it is the number of parts the whole is divided into.

Reciprocal of a Fraction

To get the reciprocal of a fraction, just turn it upside down.
In other words swap over the Numerator and Denominator.

Examples:

Fraction Reciprocal
3/8 8/3
5/6 6/5
1/3 3/1 = 3
19/7 7/19

Reciprocal of a Mixed Fraction

To find the reciprocal of a Mixed Fraction, we must first convert it to an Improper Fraction, then turn it upside down.

Example: What is the reciprocal of 2 1/3 ?

1. Convert it to an improper fraction: 2 1/3 = 7/3
2. Turn it upside down: 3/7

The Answer is: 3/7

Multiplying a Fraction by its Reciprocal

When we multiply a fraction by its reciprocal we get 1:

Examples:

5/6 × 6/5 = 1

1/3 × 3 = 1

 

That is all. It is just too easy to talk any more about it.