Reciprocals

A step-by-step guide to Find Reciprocals

A reciprocal of a number is 1 divided by the number.

Reciprocals signify something which is identical on both sides.
For instance, the number 9’s is 1 divided by 9, thus written as \(\frac{1}{9}\).

Reciprocals are also a number taken to the power of \(-1\).
For instance, \(\frac{1}{9}\) is identical to 9 to the power of \(-1\).

A reciprocal is the reverse of a value or a number. So, whenever they are multiplied, they give an equal answer.

Reciprocals – Example 1

Write the reciprocal of \(\frac{4}{20}\).
Solution:
Changed the numerator and the denominator to obtain its reciprocal. \(\frac{20}{4}=5\)

Reciprocals – Example 2

Write the reciprocal of \(\frac{-1}{7}\).
Solution:
Changed the numerator and the denominator to obtain its reciprocal. \(\frac{-7}{1}=-7\)