Question

For which fraction pairs would it be useful to use the benchmarks%C2%A0 0,%C2%A012,%C2%A0and%C2%A01 %C2%A0to compare? Check the THREE that apply.(3 points) Responses 49%C2%A0and%C2%A01120 49%C2%A0and%C2%A01120 610%C2%A0and%C2%A049 610%C2%A0and%C2%A049 211%C2%A0and%C2%A057 211%C2%A0and%C2%A057 52%C2%A0and%C2%A0113 52%C2%A0and%C2%A0113 27%C2%A0and%C2%A0310

Answer 1

To determine which fraction pairs would be useful to use the benchmarks 0, 12%, and 1%, we look for fractions that are either very close to these benchmarks or are easy to compare with these benchmarks.

1. **49% and 1120**: Knowing that 49% is significantly less than 100%, comparing it to 0 and 1% could be useful for understanding its relative size.

2. **610% and 49%**: Here, 610% is well above 100%, making it useful to compare it to benchmarks like 0% and 1% to highlight its large value compared to very small percentages.

3. **211% and 57%**: The same logic applies here—211% is considerably higher than 100%, and 57% can also be compared to 12% to see its relative size.

4. **52% and 113**: This pair includes 113, which is a whole number. It may not be as useful for the benchmark percentages since it's a single number outside the standard percentage range.

5. **27% and 310**: Similar to the above, while 27% can be compared to benchmarks, 310 is a whole number that makes it less straightforward.

From the choices, the most impactful pairs to use the benchmarks would be:
1. **49% and 1120**
2. **610% and 49%**
3. **211% and 57%**

So, the three fraction pairs that would be useful to compare using benchmarks of 0, 12%, and 1% are:
- 49% and 1120
- 610% and 49%
- 211% and 57%