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Question 541257: (x)/(3)+(x)/(6)+(x)/(12)+(x)/(24)+?=5
Found 2 solutions by ShortCircuit, KMST:
Answer by ShortCircuit(2)   (Show Source):
You can put this solution on YOUR website! In order to add fractions, you must find a common denominator. It is easiest to find the least common denominator. Because 3, 6, 12, and 24 all can be multiplied by certain numbers to equal 24, 24 is the least common denominator.
Starting with 3, it can be multiplied by 8 to get 24.  * will give you  . (You can do this because equals 1 and anything times 1 still equals itself, so you aren't changing the value).
For 6, you know that 6*4=24. So  * =
Then  * = .
Now that you have given each fraction a common denominator.
So your equation looks like:
++ + =5
Now you can add the fractions together.
You get:  =5
Now you want to get x by itself, so you can multiply each side by 24: 24*=24*5
You will get: 15x=120
In order to get x by itself, all you have to do now is divide each side by 15:  =
Your final result will be:
x=8
You can check your answer by plugging in 8 for each x. When you do that you will get 5=5, so you know that your answer is correct.
Answer by KMST(5328)  (Show Source):
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