document.write( "Question 1144329: I can’t figure this problem out. X=0.89 repeating decimal. 100x=89.89. 100x-x=89.89-?
\n" ); document.write( "Sue began converting the repeating decimal 0.89 above to a fraction so that she could use it during her calculations. Sue knew she had to set up equations, but as she began to solve it she was not sure of how to complete the problem. Help Sue solve the problem below by finding the fractional equivalent to the decimal 0.89 with a line over the 89. \n" ); document.write( "

Algebra.Com's Answer #765404 by ikleyn(52784) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "X = 0.8989...  is a repeating decimal.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "100X = 89.8989...\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "100X = 89 + 0.8989...\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "100X = 89 +X\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "100X - X = 89\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "99X = 89\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "  X =  is the ratio you want to get.\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " Happy learning (!)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " Come again soon to learn more (!)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );