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\frac{777\times 7}{77}
Divide 777 by \frac{77}{7} by multiplying 777 by the reciprocal of \frac{77}{7}.
\frac{5439}{77}
Multiply 777 and 7 to get 5439.
\frac{777}{11}
Reduce the fraction \frac{5439}{77} to lowest terms by extracting and canceling out 7.