Khan Academy Adding \& subtracting nega Google Classroor Reduce to simplest form. \[ -\frac{1}{2}-\frac{2}{5}= \] Your answer should be a simplified proper fraction, like $3 / 5$ Stuck? Review ri a simplified improper fraction, like $7 / 4$

Step 1 ：Find a common denominator for the two fractions: \(\text{lcm}(2, 5) = 10\)

Step 2 ：Convert the fractions to have the common denominator: \(-\frac{1}{2} = -\frac{5}{10}\) and \(-\frac{2}{5} = -\frac{4}{10}\)

Step 3 ：Subtract the numerators: \(-\frac{5}{10} - \frac{4}{10} = -\frac{5+4}{10}\)

Step 4 ：Calculate the result: \(-\frac{9}{10}\)

Step 5 ：\(\boxed{-\frac{9}{10}}\)