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\frac{70}{77}-\frac{11}{77}
Least common multiple of 11 and 7 is 77. Convert \frac{10}{11} and \frac{1}{7} to fractions with denominator 77.
\frac{70-11}{77}
Since \frac{70}{77} and \frac{11}{77} have the same denominator, subtract them by subtracting their numerators.
\frac{59}{77}
Subtract 11 from 70 to get 59.