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← Divide Fractions

Concept

Reciprocal

Two numbers are reciprocals, or multiplicative inverses, of each other when their product is the multiplicative identity. For example, the reciprocal of

because their product is

The reciprocal of a number

can be found by dividing

Shortcuts exist to find the reciprocals of specific types of numbers such as natural numbers, integer numbers, fractions, and decimals.

Type	Reciprocal	Example
Natural number		The reciprocal of is
Integer numbers		The reciprocal of is
Fraction		The reciprocal of is
Decimal		The reciprocal of is

Finding the reciprocal of a mixed number is like finding the reciprocal of a fraction. However, the mixed number must first be written as an improper fraction.

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