document.write( "Question 537014: If the same number is adde to both the numerator and the denominator of the fraction 3/4,the result is 5/6.Find the number.
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Algebra.Com's Answer #352716 by KMST(5328) $\"\"$ $\"About$

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Of course, you see at first sight that the number is 2. Let's pretend that we need algebra to solve this problem.
\n" ); document.write( "Let that mystery number be x.
\n" ); document.write( " $\"%283%2Bx%29%2F%284%2Bx%29=5%2F6\"$
\n" ); document.write( "Multiply by 6 and multiply by (4+x) to eliminate denominators. We can do it in any order, and we will end up with
\n" ); document.write( " $\"6%283%2Bx%29=5%284%2Bx%29\"$
\n" ); document.write( "Multiply (apply distributive property)
\n" ); document.write( " $\"18%2B6x=20%2B5x\"$
\n" ); document.write( "Subtract 18 from both sides
\n" ); document.write( " $\"6x=2%2B5x\"$
\n" ); document.write( "Subtract 5x from both sides
\n" ); document.write( " $\"x=2\"$
\n" ); document.write( "Verify
\n" ); document.write( " $\"%283%2Bx%29%2F%284%2Bx%29=%283%2B2%29%2F%284%2B6%29=5%2F6\"$ \n" ); document.write( "

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