ASAP
Enter the simplified form of the complex fraction in the box.

Assume no denominator equals zero.

3/x + 1/4 / 1 + 3/x

Respuesta :

Answer:

[tex]\frac{x+12}{4(x+3)}[/tex]

Step-by-step explanation:

we have

[tex](\frac{3}{x} +\frac{1}{4}):(1+\frac{3}{x})[/tex]

Multiply by 4x numerator and denominator to remove the fractions

[tex](\frac{3}{x}(4x) +\frac{1}{4}(4x)):(1(4x)+\frac{3}{x}(4x))[/tex]

[tex]\frac{12+x}{4x+12}[/tex]

Factor 4 in the denominator

[tex]\frac{x+12}{4(x+3)}[/tex]