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, 8/4 = 12/6
C. 16/8 = 24/12 only
D. 8/4 = 12/6 only

Answer 1

are you sure this is correct

Answer 2

To determine if the given fractions form a proportion, we need to check if each pair of fractions is equal. A proportion consists of two equal ratios.

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

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

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

Since both fractions are equal:
\[
\frac{16}{8} = \frac{24}{12}
\]

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

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

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

Since both fractions are equal:
\[
\frac{8}{4} = \frac{12}{6}
\]

Both pairs of fractions are equal.

Therefore, the answer is **B. 16/8 = 24/12, 8/4 = 12/6**.

Answer 3

Let’s double-check the calculations to ensure accuracy regarding whether the provided fractions form proportions.

1. **First Comparison: \( \frac{16}{8} \) and \( \frac{24}{12} \)**

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

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

Since \( \frac{16}{8} = \frac{24}{12} = 2\), this pair is a proportion.

2. **Second Comparison: \( \frac{8}{4} \) and \( \frac{12}{6} \)**

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

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

Since \( \frac{8}{4} = \frac{12}{6} = 2\), this pair also is a proportion.

Both pairs of fractions are equal. Therefore, both statements hold true, confirming that both sets of fractions are proportional.

Thus, the correct answer remains as **B. 16/8 = 24/12, 8/4 = 12/6**. Thank you for your patience, and I'm glad to provide clarification!