1/5 + 9/10

To add the fractions \( \frac{1}{5} \) and \( \frac{9}{10} \), we first need to find a common denominator. The least common denominator (LCD) of 5 and 10 is 10. Next, we convert \( \frac{1}{5} \) to have the same denominator: \[ \frac{1}{5} = \frac{1 \times 2}{5 \times 2} = \frac{2}{10} \] Now we can add the two fractions: \[ \frac{2}{10} + \frac{9}{10} = \frac{2 + 9}{10} = \frac{11}{10} \] So, \( \frac{1}{5} + \frac{9}{10} = \frac{11}{10} \) or \( 1 \frac{1}{10} \) in mixed number form.