SOLUTION: The sum of one-half of a number, one third of the number, and one-fourth of the same number is one-tenth. What is the number?

Question 237623: The sum of one-half of a number, one third of the
number, and one-fourth of the same number is
one-tenth. What is the number?
Answer by College Student(505) (Show Source): You can put this solution on YOUR website!
There might be an easier way to solve this, but I found a way to do it.
First, build the equation.
The sum of
one-half of a number... 1/2x
one third of the number... 1/3x
and one-fourth of the same number... 1/4x
is one-tenth... = 1/10

Now mulitiply entire equation by the LCD...
I multiplied 2x3x4=24, so I used 24

Now divide 26 from both sides
(this is the same as multiplying by its reciprocal... 1/26), so

You may now simplify the fraction to a simpler fraction.
I'll let you work on that step, since it's the last one. :)
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