Question

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

Assume no denominator equals zero.

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

this is one problem

Answer 1

12+x / 4x+12

Explanation:

I took the quiz

Answer 2

The problem is:

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

We now do L.C.M. of numerator and add, also do L.C.M. of denominator and add together:

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

Dividing by a fraction is same as multiplying by its reciprocal, so we have:

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

x cancels out, so can multiply and write:

`(12+x)/(4) * (1)/(x+3) \\=(12+x)/(4x+12)`

This is the simplified form.

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