Question
Determine if one, both, or neither of the following is a proportion. 16/8 =? 24/12, 8/4 =?12/6?
A. Neither is a proportion.
B. 16/8 = 24/12 only
C. 8/4 = 12/6 only
D. 16/8 = 24/12, 8/4 = 12/6
A. Neither is a proportion.
B. 16/8 = 24/12 only
C. 8/4 = 12/6 only
D. 16/8 = 24/12, 8/4 = 12/6
Answers
GPT-4o mini
To determine if the given fractions form proportions, we need to compare the two ratios in each statement.
1. For the first pair: \( \frac{16}{8} \) and \( \frac{24}{12} \)
- \( \frac{16}{8} = 2 \)
- \( \frac{24}{12} = 2 \)
- Since both fractions are equal, \( \frac{16}{8} = \frac{24}{12} \) is a proportion.
2. For the second pair: \( \frac{8}{4} \) and \( \frac{12}{6} \)
- \( \frac{8}{4} = 2 \)
- \( \frac{12}{6} = 2 \)
- Since both fractions are equal, \( \frac{8}{4} = \frac{12}{6} \) is also a proportion.
Since both pairs are proportions, the answer is:
D. 16/8 = 24/12, 8/4 = 12/6
1. For the first pair: \( \frac{16}{8} \) and \( \frac{24}{12} \)
- \( \frac{16}{8} = 2 \)
- \( \frac{24}{12} = 2 \)
- Since both fractions are equal, \( \frac{16}{8} = \frac{24}{12} \) is a proportion.
2. For the second pair: \( \frac{8}{4} \) and \( \frac{12}{6} \)
- \( \frac{8}{4} = 2 \)
- \( \frac{12}{6} = 2 \)
- Since both fractions are equal, \( \frac{8}{4} = \frac{12}{6} \) is also a proportion.
Since both pairs are proportions, the answer is:
D. 16/8 = 24/12, 8/4 = 12/6