document.write( "Question 159528: please help me solve this problem: 1 3/5x-2 1/4=1 2/3 \n" ); document.write( "
Algebra.Com's Answer #117692 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
1 3/5 x - 2 1/4 = 1 2/3
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\n" ); document.write( "I assume the problems is:
\n" ); document.write( "1\"3%2F5\"x - 2\"1%2F4\" = 1\"2%2F3\"
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\n" ); document.write( "Change them all from mixed numbers to improper fractions
\n" ); document.write( "(I assume you know how to do that, if not, email me and we can go over it)
\n" ); document.write( "\"8%2F5\"x - \"9%2F4\" = \"5%2F3\"
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\n" ); document.write( "Get rid of the denominators, multiplying by 60 will do this for us:
\n" ); document.write( "(note that all the denominators are factors of 60)
\n" ); document.write( "60*\"8%2F5\"x - 60*\"9%2F4\" = 60*\"5%2F3\"
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\n" ); document.write( "Cancel out the denominators and you have:
\n" ); document.write( "12(8)x - 15(9) = 20(5)
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\n" ); document.write( "96x - 135 = 100
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\n" ); document.write( "Add 135 to both sides:
\n" ); document.write( "96x = 100 + 135
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\n" ); document.write( "96x = 235
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\n" ); document.write( "Divide both sides by 96:
\n" ); document.write( "x = \"235%2F96\"
\n" ); document.write( "Using pencil long division you will come up with a mixed fraction
\n" ); document.write( "x = 2\"43%2F96\"
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\n" ); document.write( "Check solution on a calc
\n" ); document.write( "Enter (8/5)(235/96) - (9/4) = 1.6666 which is 1\"2%2F3\"
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\n" ); document.write( "I suggest you study each step until you understand it. It will be worth the time and trouble.
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