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