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\frac{6\times 6}{10\times 5}
Divide \frac{6}{10} by \frac{5}{6} by multiplying \frac{6}{10} by the reciprocal of \frac{5}{6}.
\frac{3\times 6}{5\times 5}
Cancel out 2 in both numerator and denominator.
\frac{18}{5\times 5}
Multiply 3 and 6 to get 18.
\frac{18}{25}
Multiply 5 and 5 to get 25.