SOLUTION: Solve and check. x+1/6 = 4/3

Algebra ->  Functions -> SOLUTION: Solve and check. x+1/6 = 4/3      Log On


   



Question 54214: Solve and check.
x+1/6 = 4/3

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
These are more easily done by multiplying both sides of the equation by the LCD (lowest common denominator) in order to clear the fractions, so that we can avoid adding and subtracting fractions:
x%2B1%2F6=4%2F3 The LCD is 6.
6%28x%2B1%2F6%29=6%284%2F3%29
6x%2B6%2F6=24%2F3
6x%2B1=8
6x%2B1-1=8-1
6x=7
6x%2F6=7%2F6
highlight%28x=7%2F6%29
To Check, substitute x=7/6 into the equation, simplify, and see if both sides of the eqaution are equal:
7%2F6%2B1%2F6=4%2F3
8%2F6=4%2F3
4%2F3=4%2F3
Yep! We're right!!!
Happy Calculating!!!