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\frac{9}{12}+\frac{10}{12}-\frac{15}{12}
Least common multiple of 4 and 6 is 12. Convert \frac{3}{4} and \frac{5}{6} to fractions with denominator 12.
\frac{9+10}{12}-\frac{15}{12}
Since \frac{9}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.
\frac{19}{12}-\frac{15}{12}
Add 9 and 10 to get 19.
\frac{19-15}{12}
Since \frac{19}{12} and \frac{15}{12} have the same denominator, subtract them by subtracting their numerators.
\frac{4}{12}
Subtract 15 from 19 to get 4.
\frac{1}{3}
Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.