What is the least common denominator of the expression? x+1/4x and 3(x+1)/2x^2 ?

the least common denominator is 4 x^2

(x+1)/4x

3(x+1)/2x^2

To find the common denominator, find the prime factors of each denominator

4x =2*2*x

2x^2 = 2*x*x

We need to take the greatest number of each term

2:  We have two 2's in the first term and one 2 in the second term so we will take two 2's

x: we have one x in the first term and two x's in the second term so we take two x's

common denominator; 2*2*x*x

                                      4x^2

entering that problem on the tube might get you an answer