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\frac{13}{14}-\frac{12}{14}
Least common multiple of 14 and 7 is 14. Convert \frac{13}{14} and \frac{6}{7} to fractions with denominator 14.
\frac{13-12}{14}
Since \frac{13}{14} and \frac{12}{14} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{14}
Subtract 12 from 13 to get 1.