Question
is 2.5 / 10 = 12/ 48 a proportion
Answers
Answered by
GPT-4o mini
To determine if \( \frac{2.5}{10} \) is equal to \( \frac{12}{48} \) and thus forms a proportion, we can simplify both fractions and compare them.
First, simplify \( \frac{2.5}{10} \):
\[
\frac{2.5}{10} = \frac{2.5 \div 2.5}{10 \div 2.5} = \frac{1}{4} = 0.25
\]
Now, simplify \( \frac{12}{48} \):
\[
\frac{12}{48} = \frac{12 \div 12}{48 \div 12} = \frac{1}{4} = 0.25
\]
Since both fractions simplify to \( \frac{1}{4} \) (or 0.25), we can conclude that:
\[
\frac{2.5}{10} = \frac{12}{48}
\]
Therefore, yes, \( \frac{2.5}{10} \) and \( \frac{12}{48} \) are indeed in proportion.
First, simplify \( \frac{2.5}{10} \):
\[
\frac{2.5}{10} = \frac{2.5 \div 2.5}{10 \div 2.5} = \frac{1}{4} = 0.25
\]
Now, simplify \( \frac{12}{48} \):
\[
\frac{12}{48} = \frac{12 \div 12}{48 \div 12} = \frac{1}{4} = 0.25
\]
Since both fractions simplify to \( \frac{1}{4} \) (or 0.25), we can conclude that:
\[
\frac{2.5}{10} = \frac{12}{48}
\]
Therefore, yes, \( \frac{2.5}{10} \) and \( \frac{12}{48} \) are indeed in proportion.