document.write( "Question 341919: 2x/5-x/3=5 I'm not understanding how to compute fractions and getting common # \n" ); document.write( "
Algebra.Com's Answer #244799 by josmiceli(19441)\"\" \"About 
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\"%282x%29%2F5+-+x%2F3+=+5\"
\n" ); document.write( "The key is that if you multiply both sides of the equation by
\n" ); document.write( "the same number, the equation does not change
\n" ); document.write( "The question then is:
\n" ); document.write( "What number do you multiply both sides by?
\n" ); document.write( "Let me make up my own problem to show you:
\n" ); document.write( "\"1%2F2+%2B+1%2F3+%2B+1%2F4+%2B+1%2F5+%2B+1%2F6+%2B+1%2Fx+=+5\"
\n" ); document.write( "You must multiply BOTH sides by a number that can be
\n" ); document.write( "divided by 2,3,4,5,6, and x without any remainder
\n" ); document.write( "I'll takes a guess- how about 30?
\n" ); document.write( "Sorry, 30/4 = 7 and 1/2 remainder
\n" ); document.write( "How about 60?
\n" ); document.write( "Bingo!
\n" ); document.write( "60/2 = 30
\n" ); document.write( "60/3 = 20
\n" ); document.write( "60/4 = 15
\n" ); document.write( "60/5 = 12
\n" ); document.write( "60/6 = 10
\n" ); document.write( "But what do I do with the x?
\n" ); document.write( "How do I know if x goes into 60 with no remainder?
\n" ); document.write( "The answer is to multiply 60 by x, and then I know
\n" ); document.write( "60x/x = 60 hence, no remainder
\n" ); document.write( "Now I'll do the work:
\n" ); document.write( "
\n" ); document.write( "\"30x+%2B+20x+%2B+15x+%2B+12x+%2B+10x+%2B+60+=+120x\"
\n" ); document.write( "\"87x+%2B+60+=+120x\"
\n" ); document.write( "\"33x+=+60\"
\n" ); document.write( "\"x+=+60%2F33\"
\n" ); document.write( "The answer is not important, but the method is.
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