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x\times \frac{3}{5}\times \frac{3}{8}=270
Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.
x\times \frac{3\times 3}{5\times 8}=270
Multiply \frac{3}{5} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.
x\times \frac{9}{40}=270
Do the multiplications in the fraction \frac{3\times 3}{5\times 8}.
x=270\times \frac{40}{9}
Multiply both sides by \frac{40}{9}, the reciprocal of \frac{9}{40}.
x=\frac{270\times 40}{9}
Express 270\times \frac{40}{9} as a single fraction.
x=\frac{10800}{9}
Multiply 270 and 40 to get 10800.
x=1200
Divide 10800 by 9 to get 1200.