document.write( "Question 1208610: When expanded as a decimal, the fraction $\frac{1}{7}$ has a repetend (the repeating part of the decimal) of $142857$. The last three digits of the repetend are $857$.\r
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document.write( " When expanded as a decimal, the fraction $\frac{1}{13}$ has a repetend that is $6$ digits long. If the last three digits of the repetend are $ABC$, compute the digits $A$, $B$, and $C$. \n" );
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Algebra.Com's Answer #846981 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "You would use long division to divide 1 over 13. \n" ); document.write( "13 goes out to the left, while 1 goes under the bar.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Here is a calculator that provides a step-by-step walkthrough \n" ); document.write( "https://www.calculatorsoup.com/calculators/math/longdivisiondecimals.php \n" ); document.write( "Adjust the drop-down menu for \"decimal places\" to 7 or larger.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The calculator will say that \n" ); document.write( "1/13 = 0.076923076923076923... where \"076923\" repeats forever \n" ); document.write( "The color coding is there to show when one block stops and the next begins.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The repetend is 076923 \n" ); document.write( "The last 3 digits are 9, 2, and 3. \n" ); document.write( "A = 9 \n" ); document.write( "B = 2 \n" ); document.write( "C = 3 \n" ); document.write( " \n" ); document.write( " |