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
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
Answers
Answered by
GPT-4o mini
To determine if the two given ratios are proportions, we need to check if the two fractions are equal:
1. **First Fraction Pair: \( \frac{16}{8} \) and \( \frac{24}{12} \)**
- Calculate \( \frac{16}{8} = 2 \)
- Calculate \( \frac{24}{12} = 2 \)
Since both fractions equal 2, they form a proportion.
2. **Second Fraction Pair: \( \frac{8}{4} \) and \( \frac{12}{6} \)**
- Calculate \( \frac{8}{4} = 2 \)
- Calculate \( \frac{12}{6} = 2 \)
Again, since both fractions equal 2, they form a proportion.
Since both pairs of fractions are equal, the answer is:
**Both are proportions.**
1. **First Fraction Pair: \( \frac{16}{8} \) and \( \frac{24}{12} \)**
- Calculate \( \frac{16}{8} = 2 \)
- Calculate \( \frac{24}{12} = 2 \)
Since both fractions equal 2, they form a proportion.
2. **Second Fraction Pair: \( \frac{8}{4} \) and \( \frac{12}{6} \)**
- Calculate \( \frac{8}{4} = 2 \)
- Calculate \( \frac{12}{6} = 2 \)
Again, since both fractions equal 2, they form a proportion.
Since both pairs of fractions are equal, the answer is:
**Both are proportions.**
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