Provide an appropriate response.
-Suppose $x = 0 . \overline { 23 }$ and $y = 0 . \overline { 135 }$. Find $x + y$ by adding from left to right. How many digits are in the repetend of the sum?

Question

Quizplus · Accepted Answer

The repetend of the sum of two repeating decimals can be longer than either original repetend, and in this case, adding $0.\overline{23}$ and $0.\overline{135}$ results in a repeating cycle that combines elements of both original numbers, leading to a six-digit repetend.

Provide an Appropriate Response x=0.23‾x = 0 . \overline { 23 }x=0.23

Provide an Appropriate Response $x = 0 . \overline { 23 }$