document.write( "Question 849203: 1/a + 1/b = 1/c solve for b \n" ); document.write( "

Algebra.Com's Answer #511430 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+1%2Fa+%2B+1%2Fb++=+1%2Fc+\"$
\n" ); document.write( " $\"+1%2Fb+=+1%2Fc+-+1%2Fa+\"$
\n" ); document.write( "Multiply both sides by $\"+b+\"$
\n" ); document.write( " $\"+1+=+b%2A%28+1%2Fc+-+1%2Fa+%29+\"$
\n" ); document.write( "divide both sides by $\"+1%2Fc+-+1%2Fa+\"$
\n" ); document.write( " $\"+b+=+1+%2F+%28+1%2Fc+-+1%2Fa+%29+\"$
\n" ); document.write( "Multiply top and bottom of the right side by $\"+a%2Ac+\"$
\n" ); document.write( " $\"+b+=+%28+a%2Ac+%29+%2F+%28+a+-+c+%29+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "To check, you can pick any numbers for a, and c.
\n" ); document.write( "Then find b
\n" ); document.write( " $\"+a+=+11+\"$
\n" ); document.write( " $\"+c+=+7+\"$
\n" ); document.write( "------------
\n" ); document.write( " $\"+1%2Fa+%2B+1%2Fb++=+1%2Fc+\"$
\n" ); document.write( " $\"+1%2F11+%2B+1%2Fb++=+1%2F7+\"$
\n" ); document.write( " $\"+1%2Fb+=+1%2F7+-+1%2F11+\"$
\n" ); document.write( " $\"+1%2Fb+=+.1429+-+.0909+\"$
\n" ); document.write( " $\"+1%2Fb+=+.052+\"$
\n" ); document.write( " $\"+b+=+19.231+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+b+=+%28+a%2Ac+%29+%2F+%28+a+-+c+%29+\"$
\n" ); document.write( " $\"+b+=+%28+11%2A7+%29+%2F+%28+11+-+7+%29+\"$
\n" ); document.write( " $\"+b+=+77+%2F+4+\"$
\n" ); document.write( " $\"+b+=+19.25+\"$
\n" ); document.write( "----------------
\n" ); document.write( "I think it's correct, but $\"+19.231+\"$
\n" ); document.write( "and $\"+19.25+\"$ are a little far apart.
\n" ); document.write( " $\"+19.25+\"$ should be the right number.
\n" ); document.write( "You can recheck.
\n" ); document.write( " \n" ); document.write( "

\n" );