Determine if one, both, or neither of the following is a proportion 16/8 = 24/12, 8/4 = 12/6

To determine if the statements are proportions, we need to check if the ratios on both sides of the equations are equivalent.

1. For the first statement \( \frac{16}{8} = \frac{24}{12} \):

   • Calculate \( \frac{16}{8} = 2 \)
   • Calculate \( \frac{24}{12} = 2 \)
   • Since both sides equal 2, this statement is true: \( \frac{16}{8} = \frac{24}{12} \).

2. For the second statement \( \frac{8}{4} = \frac{12}{6} \):

   • Calculate \( \frac{8}{4} = 2 \)
   • Calculate \( \frac{12}{6} = 2 \)
   • Since both sides equal 2, this statement is also true: \( \frac{8}{4} = \frac{12}{6} \).

Since both statements represent valid proportions, the answer is:

Both are proportions.

I apologize for any confusion. Let's reassess both statements to clarify whether they are proportions.

1. For the first statement \( \frac{16}{8} = \frac{24}{12} \):

   • \( \frac{16}{8} = 2 \)
   • \( \frac{24}{12} = 2 \)
   • Both sides are equal, so this is true: \( \frac{16}{8} = \frac{24}{12} \).

2. For the second statement \( \frac{8}{4} = \frac{12}{6} \):

   • \( \frac{8}{4} = 2 \)
   • \( \frac{12}{6} = 2 \)
   • Both sides are equal, so this is also true: \( \frac{8}{4} = \frac{12}{6} \).

Both statements indeed portray valid proportions:

• \( \frac{16}{8} = \frac{24}{12} \)
• \( \frac{8}{4} = \frac{12}{6} \)

If you believe one of the statements is incorrect or if there is a misunderstanding, please clarify, and I'll be happy to reevaluate or address specific concerns. Thank you for your patience!