Question
Solve for the variable in the following proportion.
n:1/2 as 6:1
n=
n:1/2 as 6:1
n=
Answers
GPT-4o mini
To solve the proportion \( n : \frac{1}{2} = 6 : 1 \), we can set it up as a fraction:
\[
\frac{n}{\frac{1}{2}} = \frac{6}{1}
\]
Now we can cross-multiply:
\[
n \cdot 1 = 6 \cdot \frac{1}{2}
\]
This simplifies to:
\[
n = 6 \cdot \frac{1}{2}
\]
Calculating the right side gives:
\[
n = \frac{6}{2} = 3
\]
Thus, the value of \( n \) is:
\[
\boxed{3}
\]
\[
\frac{n}{\frac{1}{2}} = \frac{6}{1}
\]
Now we can cross-multiply:
\[
n \cdot 1 = 6 \cdot \frac{1}{2}
\]
This simplifies to:
\[
n = 6 \cdot \frac{1}{2}
\]
Calculating the right side gives:
\[
n = \frac{6}{2} = 3
\]
Thus, the value of \( n \) is:
\[
\boxed{3}
\]