SOLUTION: 3/4t - 7/12= 1/6

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Question 196790: 3/4t - 7/12= 1/6
Found 2 solutions by Edwin McCravy, jim_thompson5910:
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

%283%2F4%29t+-+%287%2F12%29=+%281%2F6%29

The LCD of the denominators 4, 12, and 6
is 12.  So we multiply every term on both 
sides by 12, written as 12%2F1 

%2812%2F1%29%283%2F4%29t+-+%2812%2F1%29%287%2F12%29=+%2812%2F1%29%281%2F6%29

All the denominators cancel out:



All that's left is

9t-7=2

You can solve that and you'll get t=1

Edwin

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283%2F4%29t-7%2F12=1%2F6 Start with the given equation.


Multiply EVERY term by the LCD 12 to clear any fractions.


3%283t%29-1%287%29=2%281%29 Cancel out and simplify.


9t-7=2 Multiply.


9t=2%2B7 Add 7 to both sides.


9t=9 Combine like terms on the right side.


t=%289%29%2F%289%29 Divide both sides by 9 to isolate t.


t=1 Reduce.


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Answer:

So the solution is t=1