Question
is 2.5 / 2 = 12/ 24 a proportion
Answers
GPT-4o mini
To determine if the equation \( \frac{2.5}{2} = \frac{12}{24} \) represents a proportion, we need to check if the two fractions are equal.
First, simplify each fraction:
1. Calculate \( \frac{2.5}{2} \):
\[
\frac{2.5}{2} = 1.25
\]
2. Simplify \( \frac{12}{24} \):
\[
\frac{12}{24} = \frac{1}{2} = 0.5
\]
Now we can compare the two results:
- \( \frac{2.5}{2} = 1.25 \)
- \( \frac{12}{24} = 0.5 \)
Since \( 1.25 \neq 0.5 \), the two fractions are not equal, and therefore, the equation \( \frac{2.5}{2} = \frac{12}{24} \) does not represent a proportion.
First, simplify each fraction:
1. Calculate \( \frac{2.5}{2} \):
\[
\frac{2.5}{2} = 1.25
\]
2. Simplify \( \frac{12}{24} \):
\[
\frac{12}{24} = \frac{1}{2} = 0.5
\]
Now we can compare the two results:
- \( \frac{2.5}{2} = 1.25 \)
- \( \frac{12}{24} = 0.5 \)
Since \( 1.25 \neq 0.5 \), the two fractions are not equal, and therefore, the equation \( \frac{2.5}{2} = \frac{12}{24} \) does not represent a proportion.