Express 0.363636... as a fraction.

Question

Accepted Answer

1. Let $x = 0.363636\ldots$

2. Multiply by 100 (period 2): $100x = 36.363636\ldots$

3. Subtract: $100x - x = 36.363636\ldots - 0.363636\ldots$ so $99x = 36$.

4. Solve: $x = \dfrac{36}{99} = \dfrac{4}{11}$.

5. So the fraction is **(d) $4/11$.**

FINAL_ANSWER: d

Answer

Answer

Answer