document.write( "Question 1189945: The same number is added to both the deminator and the number of a fraction 7/17,the fraction then becomes 6/11.fine the number added \n" ); document.write( "
Algebra.Com's Answer #821455 by greenestamps(13203)\"\" \"About 
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\n" ); document.write( "(1) Using formal algebra....

\n" ); document.write( "\"%287%2Bx%29%2F%2817%2Bx%29=6%2F11\"
\n" ); document.write( "\"11%287%2Bx%29=6%2817%2Bx%29\"
\n" ); document.write( "\"77%2B11x=102%2B6x\"
\n" ); document.write( "\"5x=25\"
\n" ); document.write( "\"x=5\"

\n" ); document.write( "ANSWER: 5

\n" ); document.write( "(2) Using logical reasoning and simple mental arithmetic....

\n" ); document.write( "The difference between the numerator and denominator in the given fraction 7/17 is 10. When the same number is added to both numerator and denominator, that difference stays the same.

\n" ); document.write( "So we need to find a fraction equivalent to 6/11 in which the difference between the numerator and denominator is 10.

\n" ); document.write( "The difference between the numerator and denominator in the fraction 6/11 is 5; if we double the numerator and denominator, the difference will be 10, as we need. So

\n" ); document.write( "\"%286%2F11%29%2A%282%2F2%29%2B12%2F22+=+%287%2B5%29%2F%2817%2B5%29\"

\n" ); document.write( "ANSWER: 5

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