Question

To divide by a fraction, you can multiply by its inverse.

Complete the statements below to explain why this method works. Plz help me fill in the drop down menu

Answer 1

Answer: Multiplying and Dividing are inverse operations

Multiplying by a number is the same as dividing by its reciprocal

Explanation:

Answer 2

Multiply and divide are inverse operations.

Multiply by a number is the same as divide by its reciprocal.

Explanation:

To divide by a fraction, you can multiply by its inverse.

If a number is defined as a/b, then the reciprocal of the number is b/a.

The given equation is

`(5)/(8)/ (2)/(3)=(5)/(8)* (3)/(2)`

Here,
`(3)/(2)` and
`(2)/(3)` are inverse of each other.

Reason 1:

Multiply and divide are inverse operations.

Reason 2:

Multiply by a number is the same as divide by its reciprocal.