SOLUTION: if 1/3+1/2+1/x=4, then x=

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: if 1/3+1/2+1/x=4, then x=      Log On


   

Question 255689: if 1/3+1/2+1/x=4, then x=
Found 3 solutions by edjones, EMStelley, CharlesG2:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
1/3+1/2+1/x=4
2x+3x+6=24x multiply each side by 6x (LCM).
19x=6
x=6/19
.
Ed

Answer by EMStelley(208) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F3%2B1%2F2%2B1%2Fx=4
We have two options here - either find a common denominator and try to combine all of the left hand side fractions, or multiply both sides of the equation by the common denominator to get rid of all the fractions. I think the second option is better. So the three denominators we are dealing with here are 3, 2 and x. Thus, the common denominator is them all multiplied together, 6x. So we want to multiply both sides of the equation by 6x.
%286x%29%281%2F3%29+%2B+%286x%29%281%2F2%29+%2B+%286x%29%281%2Fx%29+=+4%286x%29
2x+%2B+3x+%2B+6+=+24x
5x%2B6+=+24x
6+=+18x
1%2F3+=+x

Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
if 1/3+1/2+1/x=4, then x=
1/3 + 1/2 + 1/x = 4
2/6 + 3/6 + 1/x = 4
5/6 + 1/x = 24/6
1/x = 19/6
6=19x
6/19 = x