Question

ASAP

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

Assume no denominator equals zero.

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

Answer 1

`(x+12)/(4(x+3))`

Explanation:

we have

`((3)/(x) +(1)/(4)):(1+(3)/(x))`

Multiply by 4x numerator and denominator to remove the fractions

`((3)/(x)(4x) +(1)/(4)(4x)):(1(4x)+(3)/(x)(4x))`

`(12+x)/(4x+12)`

Factor 4 in the denominator

`(x+12)/(4(x+3))`