SOLUTION: What is the answer to 3/4 - 2/9?

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Question 316026: What is the answer to 3/4 - 2/9?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Fractions Solver


3%2F4-2%2F9 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 4 and 9 is 36 (note: if you need help with finding the LCM, check out this solver)


Now we need to get each denominator to 36



%289%2F9%29%283%2F4%29-2%2F9 Multiply 3%2F4 by %289%2F9%29


27%2F36-2%2F9 Multiply 3%2F4 and %289%2F9%29 to get 27%2F36



27%2F36-%284%2F4%29%282%2F9%29 Multiply 2%2F9 by %284%2F4%29


27%2F36-8%2F36 Multiply 2%2F9 and %284%2F4%29 to get 8%2F36



Since both fractions have a common denominator of 36, we can now combine the fractions


%2827-8%29%2F36 Combine the fractions


19%2F36 Subtract the numerators



So

3%2F4-2%2F9=19%2F36