document.write( "Question 84832: Please, assist me in this math problem. THANKS!\r
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document.write( "Find fractional notation for each infinite sum.\r
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document.write( "0.454545...\r
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document.write( "and\r
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document.write( "1.36666... \n" );
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Algebra.Com's Answer #61111 by Earlsdon(6294)![]() ![]() ![]() 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( " \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( " \n" ); document.write( "Check this on your calculator!\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |