Final answer:
Upon comparison, options B) 1/9 and E) 1/10 are the fractions that are smaller than 1/8. The other options are larger when converted into decimals for easy comparison.
Step-by-step explanation:
To determine which fractions are smaller than 1/8, we can compare each fraction by converting them into decimals or finding a common denominator. Let's examine each option:
- A) 3/10 = 0.3, which is larger than 1/8 (1/8 = 0.125).
- B) 1/9 = approximately 0.111, which is smaller than 1/8.
- C) 1/6 = approximately 0.166, which is larger than 1/8.
- D) 1/7 = approximately 0.142, which is larger than 1/8.
- E) 1/10 = 0.1, which is smaller than 1/8.
Comparing decimals allows us to see that options B) 1/9 and E) 1/10 are the only fractions smaller than 1/8.