document.write( "Question 485661: Adding the same number to both the numerator and the denominator of a fraction does not change the fraction's value? \n" ); document.write( "

Algebra.Com's Answer #332172 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Adding the same number to both the numerator and the denominator of a fraction does not change the fraction's value?
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\n" ); document.write( "Let's see if that's possible
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\n" ); document.write( "Let the fraction be $\"3%2F4\"$
\n" ); document.write( "let x = the number added to num and den
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\n" ); document.write( " $\"%28x%2B3%29%2F%28x%2B4%29\"$ = $\"3%2F4\"$
\n" ); document.write( "Cross multiply
\n" ); document.write( "4(x+3) = 3(x+4)
\n" ); document.write( "4x + 12 = 3x + 12
\n" ); document.write( "4x - 3x = 12 - 12
\n" ); document.write( "x = 0, is the only number for this to be true \n" ); document.write( "

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