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\frac{65}{78}-\frac{12}{78}
Least common multiple of 6 and 13 is 78. Convert \frac{5}{6} and \frac{2}{13} to fractions with denominator 78.
\frac{65-12}{78}
Since \frac{65}{78} and \frac{12}{78} have the same denominator, subtract them by subtracting their numerators.
\frac{53}{78}
Subtract 12 from 65 to get 53.