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
are ye sure?????????????
Right.
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.