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\frac{0.75\times 9}{10}
Divide \frac{0.75}{1} by \frac{10}{9} by multiplying \frac{0.75}{1} by the reciprocal of \frac{10}{9}.
\frac{6.75}{10}
Multiply 0.75 and 9 to get 6.75.
\frac{675}{1000}
Expand \frac{6.75}{10} by multiplying both numerator and the denominator by 100.
\frac{27}{40}
Reduce the fraction \frac{675}{1000} to lowest terms by extracting and canceling out 25.