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\frac{2x}{3y}\times \frac{3y}{2x}
Cancel out 2 in both numerator and denominator.
\frac{2x\times 3y}{3y\times 2x}
Multiply \frac{2x}{3y} times \frac{3y}{2x} by multiplying numerator times numerator and denominator times denominator.
1
Cancel out 2\times 3xy in both numerator and denominator.