SOLUTION: what is 11/15 + 7/10 - 2/5 in lowest terms

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Question 357490: what is 11/15 + 7/10 - 2/5 in lowest terms
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First, add 11%2F15 and 7%2F10


For more help with fractions, see this solver.

Solved by pluggable solver: Fractions Solver


11%2F15%2B7%2F10 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 15 and 10 is 30 (note: if you need help with finding the LCM, check out this solver)


Now we need to get each denominator to 30



%282%2F2%29%2811%2F15%29%2B7%2F10 Multiply 11%2F15 by %282%2F2%29


22%2F30%2B7%2F10 Multiply 11%2F15 and %282%2F2%29 to get 22%2F30



22%2F30%2B%283%2F3%29%287%2F10%29 Multiply 7%2F10 by %283%2F3%29


22%2F30%2B21%2F30 Multiply 7%2F10 and %283%2F3%29 to get 21%2F30



Since both fractions have a common denominator of 30, we can now combine the fractions


%2822%2B21%29%2F30 Combine the fractions


43%2F30 Add the numerators



So

11%2F15%2B7%2F10=43%2F30





Since 11%2F15%2B7%2F10=43%2F30, this means that


11%2F15%2B7%2F10-2%2F5=43%2F30-2%2F5


So let's now evaluate 43%2F30-2%2F5


Solved by pluggable solver: Fractions Solver


43%2F30-2%2F5 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 30 and 5 is 30 (note: if you need help with finding the LCM, check out this solver)


Now we need to get each denominator to 30



43%2F30-%286%2F6%29%282%2F5%29 Multiply 2%2F5 by %286%2F6%29


43%2F30-12%2F30 Multiply 2%2F5 and %286%2F6%29 to get 12%2F30



Since both fractions have a common denominator of 30, we can now combine the fractions


%2843-12%29%2F30 Combine the fractions


31%2F30 Subtract the numerators



So

43%2F30-2%2F5=31%2F30





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Answer:

So 11%2F15%2B7%2F10-2%2F5=31%2F30


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim