document.write( "Question 119285: the denominator of a fraction is 5 more than the numerator. if 5 is added to the numerator and 2 is added to the denominator, the value of the fraction is 8/9. find the original fraction. \n" ); document.write( "
Algebra.Com's Answer #87392 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Let x = original numerator
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\n" ); document.write( "Just write an expression for what it says:
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\n" ); document.write( "\"the denominator of a fraction is 5 more than the numerator.\"
\n" ); document.write( "\"x%2F%28%28x%2B5%29%29\"
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\n" ); document.write( "\"if 5 is added to the numerator and 2 is added to the denominator,:
\n" ); document.write( "\"%28%28x%2B5%29%29%2F%28%28x%2B5%2B2%29%29\" = \"%28%28x%2B5%29%29%2F%28%28x%2B7%29%29\"
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\n" ); document.write( " \"the value of the fraction is 8/9.\"
\n" ); document.write( "\"%28%28x%2B5%29%29%2F%28%28x%2B7%29%29\" = \"8%2F9\"
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\n" ); document.write( "\" find the original fraction.\"
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\n" ); document.write( "Cross multiply and solve for x:
\n" ); document.write( "9(x+5) = 8(x+7)
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\n" ); document.write( "9x + 45 = 8x + 56
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\n" ); document.write( "9x - 8x = 56 - 45
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\n" ); document.write( "x = 11
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\n" ); document.write( "Original fraction: \"11%2F16\"
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\n" ); document.write( "Check solution using the statement:
\n" ); document.write( "\"if 5 is added to the numerator and 2 is added to the denominator the value of the fraction is 8/9.\"
\n" ); document.write( "\"16%2F18\" = \"8%2F9\" confirms out solution
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\n" ); document.write( "How about this? Could you follow this OK? Any questions?
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