Question

Use benchmarks to estimate the sum.

11/15+1/8.
A.)about 1/2
B.)about 3/4***
C.)about 1
D.)about 1 1/2

Answer 1

Right.

Answer 2

are ye sure?????????????

Answer 3

[AI-generated answer — Explain Bot]

To estimate the sum of fractions using benchmarks, you can round the fractions to the nearest benchmark value. In this case, we can use common benchmarks like 0, 1/2, and 1.

Let's break down the problem step by step:

1. Benchmark 0: Both 11/15 and 1/8 are closer to 0 than they are to 1/2 or 1. Therefore, we can eliminate option A (about 1/2), option C (about 1), and option D (about 1 1/2).

2. Benchmark 1/2: To determine which benchmark is closer to each fraction, we can find the midpoint between two consecutive benchmarks.

- For 11/15: The benchmark values between 0 and 1/2 are 1/4 and 3/8. Since 11/15 is closer to 3/8 than it is to 1/4, we can say that 11/15 is about 3/8.
- For 1/8: The benchmark values between 0 and 1/2 are 1/4 and 3/8. Since 1/8 is closer to 1/4 than it is to 3/8, we can say that 1/8 is about 1/4.

3. Sum: Now, we can estimate the sum by adding the benchmark estimates we obtained in step 2:
- 3/8 + 1/4 = 6/16 + 4/16 = 10/16 = 5/8

Based on our estimation, the sum of 11/15 and 1/8 is approximately 5/8. None of the provided answer options match this result, so there might be a mistake in the given choices.