SOLUTION: divide 2 + 5/5 Divided by 2(s +5)/15

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Question 117724: divide
2 + 5/5 Divided by 2(s +5)/15
Found 2 solutions by jim_thompson5910, solver91311:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%282%2B5%29%2F5%29%2F%282%28s%2B5%29%2F15%29 Start with the given expression



%287%2F5%29%2F%282%28s%2B5%29%2F15%29 Add 2 and 5 to get 7

%287%2F5%29%2A%28%2815%29%2F%282%28s%2B5%29%29%29 Multiply the first fraction by the reciprocal of the second fraction



%287%2F5%29%2A%28%283%2A5%29%2F%282%28s%2B5%29%29%29 Factor 15 into 3*5


%287%2Fcross%285%29%29%2A%28%283%2Across%285%29%29%2F%282%28s%2B5%29%29%29 Cancel like terms


%287%2F1%29%2A%283%2F%282%28s%2B5%29%29%29 Simplify


21%2F%282%28s%2B5%29%29%29 Multiply the fractions

21%2F%282s%2B10%29 Distribute

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
I think you mean %28%282%2B5%29%2F5%29%2F%28%282%28s%2B5%29%29%2F15%29.

Just like when you learned to divide fractions, the rule is the same: Invert the divisor and multiply:

%28%282%2B5%29%2F5%29%2F%28%282%28s%2B5%29%29%2F15%29

%28%282%2B5%29%2F5%29%2A%2815%2F%282%28s%2B5%29%29%29

Before you actually multiply the numerators and the denominators, eliminate some common factors.

%28%282%2B5%29%2F1%29%2A%283%2F%282%28s%2B5%29%29%29
%287%2F1%29%2A3%2F%282s%2B10%29
21%2F%282s%2B10%29

Looking at this, I think you may have made a typing error, just based on the fact that there is a trivial addition in the numerator of the dividend fraction. So, if it really looks like this:

%28%28s%2B5%29%2F5%29%2F%28%282%28s%2B5%29%29%2F15%29, then it works out a little differently:

%28%28s%2B5%29%2F5%29%2A%2815%2F%282%28s%2B5%29%29%29

%28%28s%2B5%29%2F1%29%2A%283%2F%282%28s%2B5%29%29%29

%281%2F1%29%2A%283%2F2%29

3%2F2