document.write( "Question 1046192: In a certain fraction, the denominator is 4 larger than the numerator. If 2 is added to both the numerator and the denominato, the result is 3/5. Find the original fraction.\r
\n" ); document.write( "\n" ); document.write( "Thanks for your reply Sir/Ma'am! \n" ); document.write( "

Algebra.Com's Answer #661679 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let the fraction be $\"+a%2Fb+\"$
\n" ); document.write( "(1) $\"+b+=+a+%2B+4+\"$
\n" ); document.write( "(2) $\"+%28+a+%2B+2+%29+%2F+%28+b+%2B+2+%29+=+3%2F5+\"$
\n" ); document.write( "-------------------------------
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) $\"+%28+a+%2B+2+%29+%2F+%28+a+%2B+4+%2B+2+%29+=+3%2F5+\"$
\n" ); document.write( "(2) $\"+%28+a+%2B+2+%29+%2F+%28+a+%2B+6+%29+=+3%2F5+\"$
\n" ); document.write( "Multiply both sides by $\"+5%2A%28+a+%2B+6+%29+\"$
\n" ); document.write( "(2) $\"+5%2A%28+a+%2B+2+%29+=+3%2A%28+a+%2B+6+%29+\"$
\n" ); document.write( "(2) $\"+5a+%2B+10+=+3a+%2B+18+\"$
\n" ); document.write( "(2) $\"+2a+=+8+\"$
\n" ); document.write( "(2) $\"+a+=+4+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+b+=+a+%2B+4+\"$
\n" ); document.write( "(1) $\"+b+=+4+%2B+4+\"$
\n" ); document.write( "(1) $\"+b+=+8+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "The original fraction is $\"+4%2F8+\"$
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+%28+a+%2B+2+%29+%2F+%28+b+%2B+2+%29+=+3%2F5+\"$
\n" ); document.write( "(2) $\"+%28+4+%2B+2+%29+%2F+%28+8+%2B+2+%29+=+3%2F5+\"$
\n" ); document.write( "(2) $\"+6%2F10+=+3%2F5+\"$
\n" ); document.write( "(2) $\"+3%2F5+=+3%2F5+\"$
\n" ); document.write( "OK\r
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