document.write( "Question 237623: The sum of one-half of a number, one third of the
\n" ); document.write( "number, and one-fourth of the same number is
\n" ); document.write( "one-tenth. What is the number?
\n" ); document.write( "

Algebra.Com's Answer #174747 by College Student(505)\"\" \"About 
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.
\n" ); document.write( "First, build the equation.
\n" ); document.write( "The sum of
\n" ); document.write( "one-half of a number... 1/2x
\n" ); document.write( "one third of the number... 1/3x
\n" ); document.write( "and one-fourth of the same number... 1/4x
\n" ); document.write( "is one-tenth... = 1/10
\n" ); document.write( "\"%281%2F2%29x%2B%281%2F3%29x%2B%281%2F4%29x=1%2F10\"
\n" ); document.write( "Now mulitiply entire equation by the LCD...
\n" ); document.write( "I multiplied 2x3x4=24, so I used 24
\n" ); document.write( "\"24%28%281%2F2%29x%2B%281%2F3%29x%2B%281%2F4%29x%29=24%2A%281%2F10%29\"
\n" ); document.write( "\"12x%2B8x%2B6x=%2824%2F10%29\"
\n" ); document.write( "\"26x=%2824%2F10%29\"
\n" ); document.write( "Now divide 26 from both sides
\n" ); document.write( "(this is the same as multiplying by its reciprocal... 1/26), so
\n" ); document.write( "\"x=%2824%2F10%29%2A%281%2F26%29\"
\n" ); document.write( "\"x=24%2F260\"
\n" ); document.write( "You may now simplify the fraction to a simpler fraction.
\n" ); document.write( "I'll let you work on that step, since it's the last one. :)
\n" ); document.write( "
\n" );