Loading [MathJax]/jax/output/SVG/jax.js
 
+0  
 
0
11
1
avatar+323 

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 $857$.

 

  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 $C$.

 Oct 15, 2024
 #1
avatar+135 
0

Try to do long division with 1÷13. If you do that you should get that 113=0.¯076923

 

Therefore, (A,B,C)=(9,2,3)

 Oct 17, 2024

4 Online Users

avatar
avatar