Question

What is the quotient?

Answer 1

3/2

Explanation:

For dividing rational expressions such as the one given, we use the same concept that we use when dividing fractions.

Thus, we multiply the first expression with the second expression's reciprocal as shown below.

`(2m + 4)/(8) / (m + 2)/(6)`

`(2(m + 2))/(8) * (6)/(m + 2)`

We can cancel common factors and simplify the product. Hence, we have

`(2(6))/(8)`

`(3)/(2)`

Therefore, the quotient of the expressions is equal to 3/2.