Questions: 5/9 = x/3

Transcript text: $\frac{5}{9}=\frac{x}{3}$

Solution

Step 1: Cross-multiply to solve for $ x $

Multiply both sides of the equation by $ 9 $ and $ 3 $ to eliminate the denominators: \[ 5 \cdot 3 = 9 \cdot x \]

Step 2: Simplify the equation

Calculate the products: \[ 15 = 9x \]

Step 3: Solve for $ x $

Divide both sides by $ 9 $ to isolate $ x $: \[ x = \frac{15}{9} \]

Step 4: Simplify the fraction

Reduce the fraction by dividing the numerator and denominator by $ 3 $: \[ x = \frac{5}{3} \]

$\boxed{x = \frac{5}{3}}$

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