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

Answer 1

To determine if each pair is a proportion, we need to check if the two fractions are equivalent.

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

   • Calculate \( \frac{16}{8} = 2 \)
   • Calculate \( \frac{24}{12} = 2 \)

   Since both fractions are equal (both equal to 2), the first pair is a proportion.

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

   • Calculate \( \frac{8}{4} = 2 \)
   • Calculate \( \frac{12}{6} = 2 \)

   Since both fractions are equal (both equal to 2), the second pair is also a proportion.

Thus, both pairs, \( \frac{16}{8} = \frac{24}{12} \) and \( \frac{8}{4} = \frac{12}{6} \), are proportions.