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\frac{2}{3}\times \frac{2}{3}=x
Multiply both sides by \frac{2}{3}.
\frac{2\times 2}{3\times 3}=x
Multiply \frac{2}{3} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{4}{9}=x
Do the multiplications in the fraction \frac{2\times 2}{3\times 3}.
x=\frac{4}{9}
Swap sides so that all variable terms are on the left hand side.