Mckenzie Sanders
05/31/2023 · High School
b) \( \frac{6}{9}=\frac{18}{2 \cdot x} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To solve the equation \( \frac{6}{9} = \frac{18}{2 \cdot x} \), we can start by simplifying the left side of the equation.
First, simplify \( \frac{6}{9} \):
\[
\frac{6}{9} = \frac{2}{3}
\]
Now, we can rewrite the equation:
\[
\frac{2}{3} = \frac{18}{2 \cdot x}
\]
Next, we can cross-multiply to eliminate the fractions:
\[
2 \cdot x \cdot 2 = 3 \cdot 18
\]
This simplifies to:
\[
4x = 54
\]
Now, divide both sides by 4 to solve for \( x \):
\[
x = \frac{54}{4} = \frac{27}{2} = 13.5
\]
Thus, the solution is:
\[
\boxed{13.5}
\]
Quick Answer
The solution is \( x = 13.5 \).
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