document.write( "Question 103173: Dear Sir/Madam:
\n" ); document.write( "This is from a worksheet that I received from the teacher. Origination unknown.\r
\n" ); document.write( "\n" ); document.write( "The denominator of a fraction is one more than the numerator. When 4 is added to the numerator and 6 is added to the denominator the result equals 3/4. Find the fraction.\r
\n" ); document.write( "\n" ); document.write( "this is what I have: x/x+1 + 4/6 = (x + 4)/(1x + 6) = 4 / 2x + 7\r
\n" ); document.write( "\n" ); document.write( "I feel stuck. What did I not capture correctly out of the word problem?\r
\n" ); document.write( "\n" ); document.write( "Thank you so very much.
\n" ); document.write( "

Algebra.Com's Answer #75032 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
The denominator of a fraction is one more than the numerator. When 4 is added to the numerator and 6 is added to the denominator the result equals 3/4. Find the fraction.
\n" ); document.write( "this is what I have: \"x%2F%28x%2B1%29\", this is right
\n" ); document.write( ":
\n" ); document.write( "Right here you should have:
\n" ); document.write( "\"%28%28x%2B4%29%29%2F%28%28x%2B1%2B6%29%29\" = \"3%2F4\"
\n" ); document.write( ":
\n" ); document.write( "\"%28%28x%2B4%29%29%2F%28%28x%2B7%29%29\" = \"3%2F4\"
\n" ); document.write( ":
\n" ); document.write( "Cross multiply and you have:
\n" ); document.write( "4(x+4) = 3(x+7)
\n" ); document.write( ":
\n" ); document.write( "4x + 16 = 3x + 21\r
\n" ); document.write( "\n" ); document.write( "4x - 3x = 21 - 16
\n" ); document.write( ":
\n" ); document.write( "x = 5
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Checking our solution using the original statement:
\n" ); document.write( "\"%28%285%2B4%29%29%2F%28%286%2B6%29%29\" = \"3%2F4\"
\n" ); document.write( "\"9%2F12\" = \"3%2F4\"\r
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