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\frac{\frac{2}{10}-\frac{3}{10}+\frac{1}{4}\times 2}{4}
Least common multiple of 5 and 10 is 10. Convert \frac{1}{5} and \frac{3}{10} to fractions with denominator 10.
\frac{\frac{2-3}{10}+\frac{1}{4}\times 2}{4}
Since \frac{2}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.
\frac{-\frac{1}{10}+\frac{1}{4}\times 2}{4}
Subtract 3 from 2 to get -1.
\frac{-\frac{1}{10}+\frac{2}{4}}{4}
Multiply \frac{1}{4} and 2 to get \frac{2}{4}.
\frac{-\frac{1}{10}+\frac{1}{2}}{4}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
\frac{-\frac{1}{10}+\frac{5}{10}}{4}
Least common multiple of 10 and 2 is 10. Convert -\frac{1}{10} and \frac{1}{2} to fractions with denominator 10.
\frac{\frac{-1+5}{10}}{4}
Since -\frac{1}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.
\frac{\frac{4}{10}}{4}
Add -1 and 5 to get 4.
\frac{\frac{2}{5}}{4}
Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.
\frac{2}{5\times 4}
Express \frac{\frac{2}{5}}{4} as a single fraction.
\frac{2}{20}
Multiply 5 and 4 to get 20.
\frac{1}{10}
Reduce the fraction \frac{2}{20} to lowest terms by extracting and canceling out 2.