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\frac{12\times 4}{15}\sqrt{2}
Express 12\times \frac{4}{15} as a single fraction.
\frac{48}{15}\sqrt{2}
Multiply 12 and 4 to get 48.
\frac{16}{5}\sqrt{2}
Reduce the fraction \frac{48}{15} to lowest terms by extracting and canceling out 3.