SOLUTION: 26/45-6/35=?/315

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Question 836284: 26/45-6/35=?/315
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Fractions Solver


26%2F45-6%2F35 Start with the given expression




In order to subtract these two fractions, these fractions need to have a common denominator.


In order to do that, we simply find that the LCM of 45 and 35 is 315 (note: if you need help with finding the LCM, check out this solver)


Now we need to get each denominator to 315



%287%2F7%29%2826%2F45%29-6%2F35 Multiply 26%2F45 by %287%2F7%29


182%2F315-6%2F35 Multiply 26%2F45 and %287%2F7%29 to get 182%2F315



182%2F315-%289%2F9%29%286%2F35%29 Multiply 6%2F35 by %289%2F9%29


182%2F315-54%2F315 Multiply 6%2F35 and %289%2F9%29 to get 54%2F315



Since both fractions have a common denominator of 315, we can now combine the fractions


%28182-54%29%2F315 Combine the fractions


128%2F315 Subtract the numerators



So

26%2F45-6%2F35=128%2F315