SOLUTION: x/2 + 2/3=3/4 I am new to this and am stuck on this question. Thank you for your help!! Belle

Algebra ->  Algebra  -> Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: x/2 + 2/3=3/4 I am new to this and am stuck on this question. Thank you for your help!! Belle      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Question 40077: x/2 + 2/3=3/4 I am new to this and am stuck on this question. Thank you for your help!! Belle
Answer by fractalier(2101) About Me  (Show Source):
You can put this solution on YOUR website!
The easiest way to handle fractional equations is to multiply everything by the lowest common denominator first...here that would be 12...so we have
x/2 + 2/3 = 3/4
12[x/2 + 2/3 = 3/4]
6x + 8 = 9
now subtract 8 from both sides and then divide by 6 and get
6x = 1
x = 1/6