Question

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

Answer 1

Answer:

4

Step-by-step explanation:

To simplify

$\frac{4}{x+3}$ ÷ $\frac{1}{x+3}$

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

$\frac{4}{x+3}$ × $\frac{x+3}{1}$

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

$\frac{4}{1}$ = 4

Answer 2

Answer:

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

Step-by-step 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