SOLUTION: (5/8)/(15/16)+(1/2)

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Question 207029: (5/8)/(15/16)+(1/2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%285%2F8%29%2F%2815%2F16%29%2B1%2F2 Start with the given expression.


%285%2F8%29%2A%2816%2F15%29%2B1%2F2 Multiply the first fraction by the reciprocal of the second fraction.


%285%2F8%29%2A%28%288%2A2%29%2F%285%2A3%29%29%2B1%2F2 Factor


Cancel out the common terms.


2%2F3%2B1%2F2 Simplify


4%2F6%2B1%2F2 Multiply the first fraction by 2%2F2


4%2F6%2B3%2F6 Multiply the second fraction by 3%2F3


Since the denominators are equal, we can now add the fractions.


%284%2B3%29%2F6 Combine the fractions by adding the numerators over the LCD.


7%2F6 Add


So %285%2F8%29%2F%2815%2F16%29%2B1%2F2=7%2F6