document.write( "Question 181833: 2\"1%2F2\" OVER x = \"10%2F3\"\r
\n" ); document.write( "\n" ); document.write( "2\"1%2F2\" is the numerator and x is the denomanator, I need to figure out what x is. I dont know how to slove a problem with a fraction like this. I have submited this problem before but couldnt understand the answer. So please show your work and please explain how you got the answer. And if you can could you please explain to me why the fraction is like that and what they are used for so I can better understand it in the future?\r
\n" ); document.write( "\n" ); document.write( "Thank You
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Algebra.Com's Answer #136429 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
2 1/2 is a mixed number and has to be converted to a pure fraction
\n" ); document.write( "2 1/2 is actually \"2+%2B+1%2F2\", so what you have to answer is:
\n" ); document.write( "\"How many 1/2's are in 2? There are 4 1/2's in 2 because
\n" ); document.write( "\"4%2A%281%2F2%29+=+2\"
\n" ); document.write( "Now you have \"4%2A%281%2F2%29+%2B+%281%2F2%29+=+5%2A%281%2F2%29\"
\n" ); document.write( "and
\n" ); document.write( "\"5%2A%281%2F2%29+=+5%2F2\"
\n" ); document.write( "So, now you have
\n" ); document.write( "\"%285%2F2%29%2Fx+=+10%2F3\"
\n" ); document.write( "Remeber that \"5%2F2\" is just a number and it's OK for it to be
\n" ); document.write( "the numerator of a fraction. If you wanted to, you could
\n" ); document.write( "represent it as \"2.5\", but it's OK the way it is
\n" ); document.write( "Now multiply both sides of the equation by \"x\"
\n" ); document.write( "\"5%2F2+=+%2810%2F3%29%2Ax\"
\n" ); document.write( "Now multiply both sides by \"6\"
\n" ); document.write( "\"3%2A5+=+2%2A10%2Ax\"
\n" ); document.write( "\"15+=+20x\"
\n" ); document.write( "Divide both sides by \"20\"
\n" ); document.write( "\"x+=+15%2F20\"
\n" ); document.write( "\"x+=+3%2F4\" answer
\n" ); document.write( "To prove the answer, just put this result back into the
\n" ); document.write( "original equation
\n" ); document.write( "\"%285%2F2%29%2Fx+=+10%2F3\"
\n" ); document.write( "\"%285%2F2%29%2F%283%2F4%29+=+10%2F3\"
\n" ); document.write( "Now you've got fractions in both numerator and denominator,
\n" ); document.write( "but it's still OK
\n" ); document.write( "MUltiply the left side only by \"%284%2F3%29%2F%284%2F3%29\", which is
\n" ); document.write( "actully just \"1\"
\n" ); document.write( "\"%28%284%2F3%29%2F%284%2F3%29%29%2A%28%285%2F2%29%2F%283%2F4%29%29+=+10%2F3\"
\n" ); document.write( "Notice that the denominator is \"%284%2F3%29%2A%283%2F4%29\" which is \"1\"
\n" ); document.write( "\"%284%2F3%29%2A%285%2F2%29+=+10%2F3\"
\n" ); document.write( "\"20%2F6+=+10%2F3\"
\n" ); document.write( "\"10%2F3+=+10%2F3\"
\n" ); document.write( "OK
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