Question

Determine if one, both, or neither of the following is a proportion. 16/8 =? 24/12 , 8/4 =? 12/6 (1 point)
Responses

168=2412 only
Start Fraction 16 over 8 End Fraction equals Start Fraction 24 over 12 End Fraction only

84=126 only
Start Fraction 8 over 4 End Fraction equals Start Fraction 12 over 6 End Fraction only

Neither is a proportion.
Neither is a proportion.

16/8=24/12, 8/4=12/6

Answer 1

To determine if the given statements are proportions, we need to check if the two fractions in each equation are equal.

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

- Calculate \( \frac{16}{8} \):
\[
16 \div 8 = 2
\]

- Calculate \( \frac{24}{12} \):
\[
24 \div 12 = 2
\]

Since both fractions equal 2, this equation is a proportion.

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

- Calculate \( \frac{8}{4} \):
\[
8 \div 4 = 2
\]

- Calculate \( \frac{12}{6} \):
\[
12 \div 6 = 2
\]

Since both fractions also equal 2, this equation is also a proportion.

Based on this analysis, both equations represent proportions.

### Correct Response:
Both \( \frac{16}{8} = \frac{24}{12} \) and \( \frac{8}{4} = \frac{12}{6} \) are proportions.