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\frac{15}{12}-\frac{14}{12}
Least common multiple of 4 and 6 is 12. Convert \frac{5}{4} and \frac{7}{6} to fractions with denominator 12.
\frac{15-14}{12}
Since \frac{15}{12} and \frac{14}{12} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{12}
Subtract 14 from 15 to get 1.