document.write( "Question 91279: Give the sum p+q where p/q is the reduced fraction represented by repeating decimal 1.36(bar over 36).\r
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document.write( "answers:\r
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document.write( "a. 13
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document.write( "b. 19
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document.write( "c. 26
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document.write( "d. 28
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Algebra.Com's Answer #66262 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! First, convert 1.3636... to its fractional equivalent. \n" ); document.write( "n = 1.3636... Multiply by 100. \n" ); document.write( "100n = 136.3636... Subtract n from both sides. \n" ); document.write( "100n-n = 136.3636 - 1.3636 \n" ); document.write( "99n = 135 Divide both sides by 99 \n" ); document.write( "n = 135/99 Reduce the fraction. \n" ); document.write( "n = 15/11 Substitute n = 1.3636... \n" ); document.write( "1.3636... = 15/11 this is the p/q where p = 15 and q = 11. Add p+q \n" ); document.write( "p+q = 15+11 = 26 \n" ); document.write( "Answer is 26. \n" ); document.write( " |