SOLUTION: I am trying to refresh my mind. Please show me how to work this problem. 1/2+(2/3 divided 3/4)-(4/5 times 5/6)=

Algebra ->  Inverses -> SOLUTION: I am trying to refresh my mind. Please show me how to work this problem. 1/2+(2/3 divided 3/4)-(4/5 times 5/6)=      Log On


   

Question 586443: I am trying to refresh my mind. Please show me how to work this problem.
1/2+(2/3 divided 3/4)-(4/5 times 5/6)=
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1/2+(2/3 divided 3/4)-(4/5 times 5/6)
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= 1/2 + (2/3 * 4/3) - ((4/5)(5/6))
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= 1/2 + (8/9) - (4/6)
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= (9+16)/18 - (12/18)
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= 13/18
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Cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+1%2F2+%2B+%28+%282%2F3%29+%2F+%283%2F4%29+%29-%28+%284%2F5%29%2A%285%2F6%29+%29+
Separate ou the 2nd term and multiply
the top and bottom by +4%2F3+
+%28+%282%2F3%29+%2F+%283%2F4%29+%29%2A%28+%284%2F3%29+%2F+%284%2F3%29+%29+
+%28+4%2F3%2A2%2F3+%29+%2F+1+
+8%2F9+
-----------
So far I have
+1%2F2+%2B+8%2F9+-+%28+%284%2F5%29%2A%285%2F6%29+%29+
+1%2F2+%2B+8%2F9+-+4%2F6+
+1%2F2+%2B+8%2F9+-+2%2F3+
The common denominator is 18
+9%2F18+%2B+16%2F18+-+12%2F18+
+25%2F18+-+12%2F18+
+13%2F18+ answer
I like to check using decimals
+1%2F2+%2B+%28+%282%2F3%29+%2F+%283%2F4%29+%29-%28+%284%2F5%29%2A%285%2F6%29+%29+
+.5+%2B+%28+.667%2F.75+%29+-+.8%2A.833+
+.5+%2B+.88933+-+.6664+
+.72293+
and
+13%2F18+=+.7222+
I think the error is due to rounding off