document.write( "Question 1119507: The numerator of a fraction is 7 less than the denominator.If one and one third is added to it,the fraction obtained is 14/9.Find the original fraction? \n" ); document.write( "

Algebra.Com's Answer #735082 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = the denominator
\n" ); document.write( "The original fraction is:
\n" ); document.write( " $\"+%28+x+-+7+%29%2Fx+\"$
\n" ); document.write( "------------------
\n" ); document.write( " $\"+%28+x+-+7+%29+%2F+x+%2B+1+%2B+1%2F3+=+14%2F9+\"$
\n" ); document.write( "Convert constants on the left side to ninths
\n" ); document.write( " $\"+%28+x+-+7+%29%2Fx+%2B+9%2F9+%2B+3%2F9+=+14%2F9+\"$
\n" ); document.write( "Multiply both sides by $\"+9+\"$
\n" ); document.write( " $\"+%28+9%2A%28+x+-+7+%29+%29%2Fx+%2B+9+%2B+3+=+14+\"$
\n" ); document.write( " $\"+%28+9x+-+63+%29%2Fx+%2B+12+=+14+\"$
\n" ); document.write( " $\"+%28+9x+-+63+%29+%2F+x+=+2+\"$
\n" ); document.write( " $\"+9x+-+63+=+2x+\"$
\n" ); document.write( " $\"+7x+=+63+\"$
\n" ); document.write( " $\"+x+=+9+\"$
\n" ); document.write( "---------------------
\n" ); document.write( " $\"+%28+x+-+7+%29%2Fx+=+%28+9+-+7+%29+%2F+9+\"$
\n" ); document.write( " $\"+%28+x+-+7+%29%2Fx+=+2%2F9+\"$
\n" ); document.write( "--------------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+2%2F9+%2B+1+%2B+1%2F3+=+14%2F9+\"$
\n" ); document.write( "Multiply both sides by $\"9\"$
\n" ); document.write( " $\"+2+%2B+9+%2B+3+=+14+\"$
\n" ); document.write( " $\"+14+=+14+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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