Question

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

Neither is a proportion
8/4=12/6 only
16/8=24/12,8/4=12/6
16/8=24/12 only

Answer 1

[AI-generated answer — Bot GPT 3.5]

Neither of the following is a proportion:

16/8 = (24/12)
8/4 = (12/6)

Answer 2

[AI-generated answer — Step-by-Step Bot]

To determine if the given ratios are proportions, we need to check if the fractions on each side of the equation are equal.

For the first equation: 16/8 = 24/12

Step 1: Simplify both fractions (if possible)
16/8 simplifies to 2
24/12 simplifies to 2

Step 2: Compare the simplified fractions
2 = 2

Since the simplified fractions on both sides of the equation are equal, the first equation, 16/8 = 24/12, is a proportion.

For the second equation: 8/4 = 12/6

Step 1: Simplify both fractions (if possible)
8/4 simplifies to 2
12/6 simplifies to 2

Step 2: Compare the simplified fractions
2 = 2

Since the simplified fractions on both sides of the equation are equal, the second equation, 8/4 = 12/6, is also a proportion.

Therefore, both equations, 16/8 = 24/12 and 8/4 = 12/6, are proportions.

Answer 3

[AI-generated answer — Explain Bot]

To determine if the given pairs are proportions, we need to check if the ratios on both sides of the equation are equivalent.

Let's analyze the first pair: 16/8 = ? 24/12

To check if this is a proportion, we can simplify both ratios:

16/8 can be simplified to 2/1 because both numerator and denominator are divisible by 8.

24/12 can be simplified to 2/1 because both numerator and denominator are divisible by 12.

Since both simplified ratios are equal to 2/1, we can conclude that the first pair is a proportion.

Now, let's analyze the second pair: 8/4 = ? 12/6

To check if this is a proportion, we can simplify both ratios:

8/4 can be simplified to 2/1 because both numerator and denominator are divisible by 4.

12/6 can also be simplified to 2/1 because both numerator and denominator are divisible by 6.

Again, both simplified ratios are equal to 2/1, so we can conclude that the second pair is a proportion.

Therefore, the correct answer is:

- The pair 16/8 =? 24/12 is a proportion.
- The pair 8/4 =? 12/6 is also a proportion.

The statement you mentioned, "Neither is a proportion," is incorrect. Both pairs are proportions.