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\frac{10}{12}-\frac{3}{12}-\frac{3}{12}
Least common multiple of 6 and 4 is 12. Convert \frac{5}{6} and \frac{1}{4} to fractions with denominator 12.
\frac{10-3}{12}-\frac{3}{12}
Since \frac{10}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.
\frac{7}{12}-\frac{3}{12}
Subtract 3 from 10 to get 7.
\frac{7-3}{12}
Since \frac{7}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.
\frac{4}{12}
Subtract 3 from 7 to get 4.
\frac{1}{3}
Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.