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\frac{5}{30}-\frac{12}{30}
Least common multiple of 6 and 5 is 30. Convert \frac{1}{6} and \frac{2}{5} to fractions with denominator 30.
\frac{5-12}{30}
Since \frac{5}{30} and \frac{12}{30} have the same denominator, subtract them by subtracting their numerators.
-\frac{7}{30}
Subtract 12 from 5 to get -7.