Respuesta :

Answer:

4

Step-by-step explanation:

To simplify

[tex]\frac{4}{x+3}[/tex] ÷ [tex]\frac{1}{x+3}[/tex]

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

[tex]\frac{4}{x+3}[/tex] × [tex]\frac{x+3}{1}[/tex]

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

[tex]\frac{4}{1}[/tex] = 4

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