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\frac{3}{10}-\frac{8}{10}
Least common multiple of 10 and 5 is 10. Convert \frac{3}{10} and \frac{4}{5} to fractions with denominator 10.
\frac{3-8}{10}
Since \frac{3}{10} and \frac{8}{10} have the same denominator, subtract them by subtracting their numerators.
\frac{-5}{10}
Subtract 8 from 3 to get -5.
-\frac{1}{2}
Reduce the fraction \frac{-5}{10} to lowest terms by extracting and canceling out 5.