SOLUTION: [(3/4^2-5)-(2/5-4*2)]/(2*3^3/2+2^2)

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Question 892569: [(3/4^2-5)-(2/5-4*2)]/(2*3^3/2+2^2)
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
%28%283%2F4%5E2-5%29-%282%2F5-4%2A2%29%29%2F%282%2A3%5E3%2F2%2B2%5E2%29
Apply order of operations, applying exponents first
%28%283%2F16-5%29-%282%2F5-4%2A2%29%29%2F%282%2A9%2F2%2B4%29
Now do one round of multiplication and division. The 3/16 operation is deferred
%28%283%2F16-5%29-%282%2F5-8%29%29%2F%2818%2F2%2B4%29
Now perform the division 18/2
%28%283%2F16-5%29-%282%2F5-8%29%29%2F%289%2B4%29
Next simplify (3/16-5). %283%2F16-%285%2A16%2F16%29%29= %283%2F16-%2880%2F16%29%29 = %28-77%2F16%29
Now simplify %282%2F5-8%29 = %282%2F5-8%2A%285%2F5%29%29 = %282%2F5-%2840%2F5%29%29 = -38%2F5
Putting it together
%28%28-77%2F16%29-%28-38%2F5%29%29%2F%289%2B4%29
%28%28-77%2F16%29%2B%2838%2F5%29%29%2F%2813%29
A common denominator for the top is 5*16 = 80
%28%28-77%2F16%29%2A%285%2F5%29%2B%2838%2F5%29%2A%2816%2F16%29%29%2F%2813%29
%28%28-385%2F80%29%2B%28608%2F80%29%29%2F%2813%29
%28%28223%2F80%29%29%2F13
******************
%28%28223%2F80%29%29%2A%281%2F13%29
%28223%2F2480%29
Notice that a good solver such as wolframalpha will give you
the above result. Try entering ((3/4^2-5)-(2/5-4*2))/(2*3^3/2+2^2) at
www.wolframalpha.com