To find the inverse of a fraction, you simply swap the numerator and the denominator. This is also known as finding the reciprocal.
For example:
- The inverse of 2/3 is 3/2.
- The inverse of 7/4 is 4/7.
- The inverse of a/b is b/a.
Explanation:
The inverse, or reciprocal, of a number, when multiplied by the original number, results in 1. So, if your fraction is a/b, its inverse is b/a because (a/b) * (b/a) = 1.
This is a fundamental concept used in various mathematical operations, particularly when dividing fractions (multiplying by the reciprocal) or working with inverse functions that involve fractions.
