document.write( "Question 1178439: If 3/8 is added to the reciprocal of a number, the result is 31/8. Find the number. \n" ); document.write( "

Algebra.Com's Answer #807677 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "let a number be $\"x\"$ , the reciprocal of a number will be $\"1%2Fx\"$ \r
\n" ); document.write( "\n" ); document.write( "If $\"3%2F8\"$ is added to the reciprocal of a number, the result is $\"31%2F8\"$ , so we have\r
\n" ); document.write( "\n" ); document.write( " $\"1%2Fx%2B3%2F8=31%2F8\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"1%2Fx=31%2F8-3%2F8\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"1%2Fx=28%2F8\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"1%2Fx=7%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"1=x%287%2F2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=1%2F%287%2F2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=2%2F7\"$ ->and its reciprocal is $\"x=7%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( " $\"7%2F2%2B3%2F8=31%2F8\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"31%2F8=31%2F8\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );