Reciprocals and multiplicative inverses
Key Notes:
Find the multiplicative inverse of a fraction by switching the numerator and the denominator.
The multiplicative inverse of a/b is b/a.
Find the reciprocal of a fraction by switching the numerator and the denominator.
The multiplicative inverse of a/b is b/a.
Learn with an example
🎯 What is the multiplicative inverse of -5/9 ?
Switch the numerator and denominator.
–5/9 → 9/–5
Move the negative sign to the numerator. This will not change the value of the fraction.
9/-5 = -9/5
The multiplicative inverse of
–5/9 is -9/5
🎯 What is the reciprocal of 5/9?
Switch the numerator and denominator.
5/9 → 9/5
The reciprocal of 5/9 is 9/5 .
🎯 What is the multiplicative inverse of 10/9 ?
Switch the numerator and denominator.
10/9 → 9/10
The multiplicative inverse of 10/9 is 9/10 .
Let’s practice!🖊️