SOLUTION: if (3/4-2/3)+(1/2+1/3)is calculated and the answer reduced to simplest terms, what is the denominator of the resulting fraction?

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: if (3/4-2/3)+(1/2+1/3)is calculated and the answer reduced to simplest terms, what is the denominator of the resulting fraction?      Log On


   



Question 67595: if (3/4-2/3)+(1/2+1/3)is calculated and the answer reduced to simplest terms, what is the denominator of the resulting fraction?
Found 2 solutions by checkley71, funmath:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
(3/4-2/3)+(1/2+1/3)
(3*3-2*4)/12+(1*3+1*2)/6
(9-8)/12+(3+2)/6
1/12+5/6
(1+5*2)/12
(1+10)/12
11/12

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
if (3/4-2/3)+(1/2+1/3)is calculated and the answer reduced to simplest terms, what is the denominator of the resulting fraction?
The lowest common denominator of all the fractions is 12 because the lowest number that 2,3, and 4 all divide evenly into 12.
Whatever you do to the denominator to get 12, you also have to do to the numerator.

%289%2F12-8%2F12%29%2B%286%2F12%2B4%2F12%29
%289-8%29%2F12%2B%286%2B4%29%2F12
1%2F12%2B10%2F12
%281%2B10%29%2F12
11%2F12
11%2Fhighlight%2812%29
The denominator is 12.
Happy Calculating!!!