Final answer:
The fraction 13/16 is closest to the benchmark fraction of one-half, as 1/2 (equivalent to 8/16) is close to 13/16 on a number line.
Step-by-step explanation:
The question asks which benchmark fraction is closest to 13/16. To answer this, we need an intuitive sense of where fractions lie on a number line. Looking at the given benchmarks, zero is too low, three-sixteenths is less than half of 13/16, and one is too high. The fraction one-half seems to be the closest benchmark to 13/16 since 1/2 is equivalent to 8/16, and 13/16 is just five parts larger than 8/16.
To provide another intuitive check, we know that half of one-half is one-quarter (1/4), which is 4/16, much smaller than 13/16. Similarly, three quarters, or 12/16, is slightly less than 13/16, further supporting our sense that one-half is the nearest benchmark for 13/16.
Using this intuitive understanding of fractions can help us quickly determine that 13/16 is closest to the benchmark of one-half without any complicated calculations.