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

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asked Jan 21, 2019 50.8k views

2 Answers

Grembo · Answer 1 · 2019-01-28T11:24:58+0000

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.

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