document.write( "Question 127308: The sum of a number, five-fourths of the number, and a third of the number is one hundred fifty-five. Find the number.\r
\n" ); document.write( "\n" ); document.write( "Here's what I have
\n" ); document.write( "x + x + 5/4 + x + 1/3 + x =155
\n" ); document.write( "4x + 5/4 + 1/3 =155
\n" ); document.write( "5/4 + 1/3= 1 7/12
\n" ); document.write( "4x = 1 7/12
\n" ); document.write( "?????
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Algebra.Com's Answer #93264 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
You're on the right track, but \"five-fourths of the number\" does not translate to \"x%2B5%2F4\". It translates to \"%285%2F4%29x\" where the \"5%2F4\" is multiplied by x. The same applies to the statement \"third of the number \"\r
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\n" ); document.write( "\n" ); document.write( "So our equation should look like this:\r
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\n" ); document.write( "\n" ); document.write( "\"x+%2B+%285%2F4%29x+%2B+%281%2F3%29x+=155\"\r
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\n" ); document.write( "\n" ); document.write( "\"%2812%29%28x%2B%285%2F4%29x%2B%281%2F3%29x%29=%2812%29%28155%29\" Multiply both sides by the LCD of 12 (the LCD is the LCM of the denominators). This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)\r
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\n" ); document.write( "\n" ); document.write( "\"12x%2B15x%2B4x=1860\" Distribute and multiply the LCM to each side\r
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\n" ); document.write( "\n" ); document.write( "\"31x=1860\" Combine like terms on the left side\r
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\n" ); document.write( "\n" ); document.write( "\"x=%281860%29%2F%2831%29\" Divide both sides by 31 to isolate x\r
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\n" ); document.write( "\n" ); document.write( "\"x=60\" Divide\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "\n" ); document.write( "So our answer is \"x=60\" \r
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\n" ); document.write( "\n" ); document.write( "So the number is 60
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