Question

What is the multiplicative inverse of 2/3?
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Answer 1

Answer: The Multiplicative inverse of 2/3 is 9/4.

Explanation:

We want to find the multiplicative inverse of 2/3. So, we need to find a number 'y' such that (2/3) * y = 1.

• To find "y", you multiply both sides of the equation (2/3) * by = 1 by the reciprocal of 2/3, which is 3/2. When multiplying an equation by its reciprocal, the result is always 1.

• So, we have: y = 1 * (3/2) / (2/3).

• Now, let's simplify the expression for 'b':

y = (3/2) * (3/2) = 9/4.

Therefore, the multiplicative inverse of 2/3 is 9/4.

Answer 2

Imagine taking a number, multiplying it by something, and getting 1. Sounds easy! Only, the original number is not 1. Let's say the number is 15. In order to get 1, you'll multiply 15 by its multiplicative inverse, which is 1/15.

How exactly did I get 1/15? Well, to visualize it better we can write 15 as 15/1. Then it's crystal clear.

15/1 became ... 1/15. Boom!

This was one example. Now let's see what we can do with 2/3.

2/3 becomes ... 3/2.

Answer:

3/2