5/6 1/2 common denominators

6

Step-by-step explanation:

5/6=5/6

1/2=3/6

2,4,6

6

LCD = 6

Step-by-step explanation:

5/6 turns into 5/6

1/2 turns into 3/6

Multiply 1*3 and 2*3 and get 3/6

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4