Question

Simplify the complex fraction: 4/(x+3)/(1/x+3)

Answer 1

The answer is 4, because the (x+3) cancels out.

Explanation:

4/(x+3) / (1/x+3) =

The numerator will be multiplied by the inverse of the denominator:

4/(x+3) * (x+3)/1 =

Cross out the (x+3) in the numerator and the denominator.

What remains is:

4 / 1 = 4

Answer 2

4

Explanation:

To simplify

`(4)/(x+3)` ÷
`(1)/(x+3)`

Change division to multiplication and turn the second fraction upside down, that is

`(4)/(x+3)` ×
`(x+3)/(1)`

Cancel the factor (x + 3) on the numerator/ denominator , leaving

`(4)/(1)` = 4