Final answer:
To estimate 6.1/5 - 2 7/13 using benchmarks 0, 1/2, and 1, compare the given fraction to each benchmark. The estimated difference is approximately -1.
Step-by-step explanation:
To estimate 6.1/5 - 2 7/13 using benchmarks 0, 1/2, and 1, we can compare the given fraction to each benchmark. First, we compare 6.1/5 to 0. Since 6.1/5 is greater than 0, we can estimate the difference will be negative. Next, we compare 6.1/5 to 1/2. 6.1/5 is greater than 1/2, so the difference will be less than -1/2.
Finally, we compare 6.1/5 to 1. 6.1/5 is less than 1, but greater than 1/2, so the difference will be between -1 and 0. Therefore, we can estimate that 6.1/5 - 2 7/13 is approximately -1.