The Reciprocal of a Number

The reciprocal of a number is 1 spanided by the number.

The reciprocal of a number is also called its multippcative inverse.

The product of a number and its reciprocal is 1.

All numbers except 0 have a reciprocal.

The reciprocal of a fraction is found by fppping its numerator and denominator.

For example: The reciprocals of 6, $frac{1}{10}$, $frac{3}{7}$ are $frac{1}{6}$, $frac{10}{1}$, $frac{7}{3}$.

Example

Find the reciprocal of 3

Solution

Step 1:

To find the reciprocal of 3, we write 1 over 3 i.e., $frac{1}{3}$.

Step 2:

So the reciprocal of 3 is $frac{1}{3}$

Find the reciprocal of $frac{1}{4}$

Solution

Step 1:

To find the reciprocal of $frac{1}{4}$, its numerator and denominator are fppped

Step 2:

The reciprocal of $frac{1}{4}$ = $frac{4}{1}$ or 4.

So, the reciprocal of $frac{1}{4}$= 4.

Find the reciprocal of 7

Solution

Step 1:

To find the reciprocal of 7, first it is re-written as $frac{7}{1}$. Then its numerator and denominator are fppped and the reciprocal = $frac{1}{7}$.

Step 2:

So the reciprocal of 7 is $frac{1}{7}$