Solve \( \frac{12}{20}=\frac{3}{y} \)

To solve the equation \( \frac{12}{20} = \frac{3}{y} \), start by simplifying the left side. The fraction \( \frac{12}{20} \) reduces to \( \frac{3}{5} \). So, we can rewrite the equation as: \[ \frac{3}{5} = \frac{3}{y} \] Next, cross-multiply: \[ 3y = 3 \cdot 5 \] This simplifies to: \[ 3y = 15 \] Now, divide both sides by 3: \[ y = 5 \] So, the solution is \( y = 5 \). If you ever find yourself tangled up in proportions, remember that cross-multiplication is like the magic wand of fractions—it helps you clear things up! Just make sure to keep everything lined up neatly. And watch out for common mistakes like forgetting to simplify fractions where possible; it can save you a lot of time and confusion!