SOLUTION: Average... Determine the average of the two real numbers x/3 and 2x/5.

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Question 120259: Average...
Determine the average of the two real numbers x/3 and 2x/5.
Found 2 solutions by checkley71, Edwin McCravy:
Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
[(x/3)+(2x/5)]/2 add the fractions by finding the common denominator.(15)
[(5x+3*2x)/15]/2
[(5x+6x)/15]/2
[11x/15]/2
(11x/15)*1/2
11x/(15*2)
11x/30 answer.
Answer by Edwin McCravy(20086)   (Show Source): You can put this solution on YOUR website!
SOLUTION BY EDWIN:
Average...
Determine the average of the two real numbers x/3 and 2x/5. 

Use the formula

                          FIRST NUMBER + SECOND NUMBER 
AVERAGE OF TWO NUMBERS = ------------------------------
                                       2


AVERAGE OF TWO NUMBERS = 

Write the 2 on the bottome as  so everything
will be a fraction:

AVERAGE OF TWO NUMBERS = 

Put parentheses around all terms top and bottom:

AVERAGE OF TWO NUMBERS = 


The LCD of all three denominators 3,5,and 1 is 15,
so multiply every term on top and bottom by 15, written
as :
(15/1)
AVERAGE OF TWO NUMBERS = 

Cancel the 3 into the 15 in the first term on top.
Cancel the 5 into the 15, getting 3 in the second term on top.

                           5          3 
AVERAGE OF TWO NUMBERS = 

So we end up with

AVERAGE OF TWO NUMBERS =  or

AVERAGE OF TWO NUMBERS = 

Edwin