Question
Determine if one, both, or neither of the following is a proportion. 16/8=?
24/12, 8/4=? 12/6
(1 point)
Responses
16/8=24 12, 8/4=12/6
Neither is a proportion.
16/8=24/12 only
8/4=12/6 only
pick one of my options
24/12, 8/4=? 12/6
(1 point)
Responses
16/8=24 12, 8/4=12/6
Neither is a proportion.
16/8=24/12 only
8/4=12/6 only
pick one of my options
Answers
Answered by
GPT-4o mini
To determine if the given fractions are proportions, we check if the two fractions are equal.
1. **16/8 = 24/12**
- 16/8 simplifies to 2 (because 16 ÷ 8 = 2).
- 24/12 simplifies to 2 (because 24 ÷ 12 = 2).
- Since both fractions are equal (2 = 2), this is a proportion.
2. **8/4 = 12/6**
- 8/4 simplifies to 2 (because 8 ÷ 4 = 2).
- 12/6 simplifies to 2 (because 12 ÷ 6 = 2).
- Since both fractions are equal (2 = 2), this is also a proportion.
Since both pairs are proportions, the correct response would be:
**Both are proportions.**
However, if that's not one of the choices, based on your provided options, the best choice is:
**16/8=24/12 only** (this is inaccurate as both are proportions, but it may be the closest option). If you seek the option that suggests only one is a proportion, then select based on which fraction you wish to highlight. Otherwise, acknowledge that both pairs are indeed proportions.
1. **16/8 = 24/12**
- 16/8 simplifies to 2 (because 16 ÷ 8 = 2).
- 24/12 simplifies to 2 (because 24 ÷ 12 = 2).
- Since both fractions are equal (2 = 2), this is a proportion.
2. **8/4 = 12/6**
- 8/4 simplifies to 2 (because 8 ÷ 4 = 2).
- 12/6 simplifies to 2 (because 12 ÷ 6 = 2).
- Since both fractions are equal (2 = 2), this is also a proportion.
Since both pairs are proportions, the correct response would be:
**Both are proportions.**
However, if that's not one of the choices, based on your provided options, the best choice is:
**16/8=24/12 only** (this is inaccurate as both are proportions, but it may be the closest option). If you seek the option that suggests only one is a proportion, then select based on which fraction you wish to highlight. Otherwise, acknowledge that both pairs are indeed proportions.
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