Answer:
1/2
Explanation:
You want to know if 8/15 is closest to 0, 1/2, or 1.
Comparison
We can compare the numbers 0, 1/2, 1, and 8/15 by multiplying them all by 30. Their relationship to each other will not change.
- 0 × 30 = 0
- 1/2 × 30 = 15
- 8/15 × 30 = 16
- 1 × 30 = 30
Now, the question becomes, "is 16 closer to 15 or to 30". The number 16 has a difference of 1 from 15, but a difference of 30-16 = 14 from 30. The distance to 30 is greater, so 16 is closest to 15.
Equivalently, 8/15 is closest to 1/2.