Determine if one, both, or neither of the following is a proportion. 16/8 =?
24/12, 8/4 =? 12/6
Responses
16/8=24/12 only
Neither is a proportion.
16/8=24/12, 8/4=12/6
8/4=12/6 only
The first statement, 16/8 = 24/12, is a proportion.
The second statement, 8/4 = 12/6, is also a proportion.
To determine if one, both, or neither of the following is a proportion (16/8 =? 24/12, 8/4 =? 12/6), let's compare the fractions.
First, let's look at 16/8 and 24/12. To see if they are equivalent, we can simplify both fractions.
16/8 simplifies to 2/1, and 24/12 simplifies to 2/1 as well.
Since 2/1 is the same as 2/1, we can conclude that 16/8 is proportional to 24/12.
Next, let's examine 8/4 and 12/6. Again, let's simplify both fractions.
8/4 simplifies to 2/1, and 12/6 also simplifies to 2/1.
Similar to the previous case, 2/1 is the same as 2/1, meaning 8/4 is proportional to 12/6.
To summarize:
- 16/8 = 24/12 is a proportion
- 8/4 = 12/6 is a proportion
Therefore, the correct answer is: 16/8 = 24/12 only, and 8/4 = 12/6 only.