document.write( "Question 430033: Simplify the expression and write the answer in fraction form:\r
\n" );
document.write( "\n" );
document.write( "(1)/(2*3)+(1)/(3*4)+(1)/(4*5)+.......+(1)/(50*51)\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Thank you! \n" );
document.write( "
Algebra.Com's Answer #298718 by sudhanshu_kmr(1152) You can put this solution on YOUR website! \n" ); document.write( "for 1/(2*3) we can write as : 3-2/(2*3) = 1/2 - 1/3\r \n" ); document.write( "\n" ); document.write( "similarly for second term : 1/3 - 1/4 \r \n" ); document.write( "\n" ); document.write( "for third term : 1/4 - 1/5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so, expression is in this form:\r \n" ); document.write( "\n" ); document.write( "1/2 - 1/3 + 1/3 - 1/4 + 1/4 -1/5 .........+ 1/50 - 1/51\r \n" ); document.write( "\n" ); document.write( "all term will cancel except 1/2 - 1/51\r \n" ); document.write( "\n" ); document.write( "so, answer is : 1/2 -1/51 \r \n" ); document.write( "\n" ); document.write( "= 49/[2*51]\r \n" ); document.write( "\n" ); document.write( "= 0.480\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if any doubt,u r welcome to contact..\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |