document.write( "Question 1055439: The denominator of a fraction is 2 more than the numerator. If 1 is added to
\n" ); document.write( " both the fraction reduces to 4/5. Find the fraction. \n" ); document.write( "

Algebra.Com's Answer #670655 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = the number in the numerator
\n" ); document.write( "The unknown fraction is:
\n" ); document.write( " $\"+x+%2F+%28+x+%2B+2+%29+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "Add $\"+1+\"$ to both numerator and denominator
\n" ); document.write( " $\"+%28+x+%2B+1+%29+%2F+%28+x+%2B+2+%2B+1+%29+=+4%2F5+\"$
\n" ); document.write( " $\"+%28+x+%2B+1+%29+%2F+%28+x+%2B+3+%29+=+4%2F5+\"$
\n" ); document.write( "Multiply both sides by $\"+5%2A%28+x+%2B+3+%29+\"$
\n" ); document.write( " $\"+5%2A%28+x+%2B+1+%29+=+4%2A%28+x+%2B+3+%29+\"$
\n" ); document.write( " $\"+5x+%2B+5+=+4x+%2B+12+\"$
\n" ); document.write( " $\"+x+=+7+\"$
\n" ); document.write( "-----------------
\n" ); document.write( " $\"+x+%2F+%28+x+%2B+2+%29+=+7+%2F+%28+7+%2B+2+%29+\"$
\n" ); document.write( " $\"+x+%2F+%28+x+%2B+2+%29+=+7+%2F+9+\"$
\n" ); document.write( "The fraction is 7/9
\n" ); document.write( "----------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+x+%2B+1+%29+%2F+%28+x+%2B+3+%29+=+4%2F5+\"$
\n" ); document.write( " $\"+%28+7+%2B+1+%29+%2F+%28+7+%2B+3+%29+=+4%2F5+\"$
\n" ); document.write( " $\"+8%2F10+=+4%2F5+\"$
\n" ); document.write( " $\"+4%2F5+=+4%2F5+\"$
\n" ); document.write( "OK \n" ); document.write( "

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