document.write( "Question 84832: Please, assist me in this math problem. THANKS!\r
\n" ); document.write( "\n" ); document.write( "Find fractional notation for each infinite sum.\r
\n" ); document.write( "\n" ); document.write( "0.454545...\r
\n" ); document.write( "\n" ); document.write( "and\r
\n" ); document.write( "\n" ); document.write( "1.36666...
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Algebra.Com's Answer #61111 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Here's a way to do these:
\n" ); document.write( "1) Write 0.454545... as a fraction.
\n" ); document.write( "Let n = 0.454545... Multiply both sides by 100.
\n" ); document.write( "100n =45.454545... Subtract the first equation from the second equation.\r
\n" ); document.write( "\n" ); document.write( "99n = 45 Finally, divide both sides by 99
\n" ); document.write( "n = 45/99...but n = 0.454545..., so
\n" ); document.write( "0.454545...= 45/99 = 5/11
\n" ); document.write( "\"highlight%280.454545+=+5%2F11%29\"
\n" ); document.write( "Check this on your calculator!\r
\n" ); document.write( "\n" ); document.write( "2) Write 1.3666... as a fraction.\r
\n" ); document.write( "\n" ); document.write( "Let n = 1.3666... Multiply both sides by 10.
\n" ); document.write( "10n = 13.666... Multiply both sides by 10 again.
\n" ); document.write( "100n = 136.666... Now subtract 10n from 100n
\n" ); document.write( "90n = 123 Finally divide both sides by 90.
\n" ); document.write( "n = 123/90...but n = 1.3666... so
\n" ); document.write( "1.3666... = 123/90 = 41/30
\n" ); document.write( "\"highlight%281.3666+=+41%2F30%29\"
\n" ); document.write( "Check this on your calculator!\r
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