SOLUTION: perform the indicated operation, and if possible, simplify. please show all of your work. write your final answer exactly as a fraction in lowest terms. 3/14+2/5

Algebra ->  Average -> SOLUTION: perform the indicated operation, and if possible, simplify. please show all of your work. write your final answer exactly as a fraction in lowest terms. 3/14+2/5      Log On


   

Question 550626: perform the indicated operation, and if possible, simplify. please show all of your work. write your final answer exactly as a fraction in lowest terms.
3/14+2/5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Fractions Solver


3%2F14%2B2%2F5 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 14 and 5 is 70 (note: if you need help with finding the LCM, check out this solver)


Now we need to get each denominator to 70



%285%2F5%29%283%2F14%29%2B2%2F5 Multiply 3%2F14 by %285%2F5%29


15%2F70%2B2%2F5 Multiply 3%2F14 and %285%2F5%29 to get 15%2F70



15%2F70%2B%2814%2F14%29%282%2F5%29 Multiply 2%2F5 by %2814%2F14%29


15%2F70%2B28%2F70 Multiply 2%2F5 and %2814%2F14%29 to get 28%2F70



Since both fractions have a common denominator of 70, we can now combine the fractions


%2815%2B28%29%2F70 Combine the fractions


43%2F70 Add the numerators



So

3%2F14%2B2%2F5=43%2F70