SOLUTION: -2/5+1/3

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: -2/5+1/3      Log On


   



Question 178614: -2/5+1/3
Found 2 solutions by checkley75, jim_thompson5910:
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
-2/5+1/3
(-2*3+1*5)/(3*5)
(-6+5)/15
-1/15 ans.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Fractions Solver


-2%2F5%2B1%2F3 Start with the given expression




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


In order to do that, we simply find that the LCM of 5 and 3 is 15 (note: if you need help with finding the LCM, check out this solver)


Now we need to get each denominator to 15



%283%2F3%29%28-2%2F5%29%2B1%2F3 Multiply -2%2F5 by %283%2F3%29


-6%2F15%2B1%2F3 Multiply -2%2F5 and %283%2F3%29 to get -6%2F15



-6%2F15%2B%285%2F5%29%281%2F3%29 Multiply 1%2F3 by %285%2F5%29


-6%2F15%2B5%2F15 Multiply 1%2F3 and %285%2F5%29 to get 5%2F15



Since both fractions have a common denominator of 15, we can now combine the fractions


%28-6%2B5%29%2F15 Combine the fractions


-1%2F15 Add the numerators



So

-2%2F5%2B1%2F3=-1%2F15