Find the rational number representation of the repeating decimal.

Question

Quizplus · Accepted Answer

To convert the repeating decimal to a rational number, we can use the following method: 
Let x = 11eb80b1_af25_35b1_a291_73432570be7a_TB8633_11
Then 10^32x = 11eb80b1_af25_35b1_a291_73432570be7a.TB8633_11 (the integer part is the same as x)
Subtracting the two equations yields:
(10^32 - 1)x = 11eb80b1_af25_35b1_a291_73432570be7a - 11eb80b1_af25_35b1_a291_73432570be7a
Simplifying, we get:
(10^32 - 1)x = 0
x = 0 / (10^32 - 1) = 0

Therefore the correct choice is (C): 11eb80b1_af25_35b1_a291_73432570be7a_TB8633_11.

Find the Rational Number Representation of the Repeating Decimal