The reciprocal of a fraction (where ) is . In other words, the numerator and denominator switch places.
To find the reciprocal of a mixed number, first convert it to an improper fraction:
For whole numbers and negative fractions:
When dividing one fraction by another, convert the second fraction to its reciprocal form, then change the division operation to multiplication.
For example, given , rewrite this as .
Example 1: Find .
Example 2: Find .
Example 3: Evaluate .