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\frac{33}{88}-\frac{48}{88}
Least common multiple of 8 and 11 is 88. Convert \frac{3}{8} and \frac{6}{11} to fractions with denominator 88.
\frac{33-48}{88}
Since \frac{33}{88} and \frac{48}{88} have the same denominator, subtract them by subtracting their numerators.
-\frac{15}{88}
Subtract 48 from 33 to get -15.