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\frac{\frac{2\times 2}{3}}{3}
Express \frac{2}{3}\times 2 as a single fraction.
\frac{\frac{4}{3}}{3}
Multiply 2 and 2 to get 4.
\frac{4}{3\times 3}
Express \frac{\frac{4}{3}}{3} as a single fraction.
\frac{4}{9}
Multiply 3 and 3 to get 9.