Final answer:
The fraction 1/8 converted to a decimal is 0.125, which rounds to 0.13 to the nearest hundredth.
Step-by-step explanation:
To convert the fraction 1/8 to a decimal, we divide the numerator by the denominator. When you divide 1 by 8, you get 0.125. To round this to the nearest hundredth, we look at the third decimal place. Since it is a 5, we round up the second decimal place from 2 to 3. Therefore, 0.125 rounded to the nearest hundredth is 0.13. So the correct answer to this question is option b. 0.13.