6. \( \frac{2}{5}+\frac{19}{9}=-+\square=\square= \)

To solve the expression \( \frac{2}{5} + \frac{19}{9} \), we need to find a common denominator. The denominators are 5 and 9. The least common multiple (LCM) of 5 and 9 is 45. Now, we will convert each fraction to have a denominator of 45: 1. For \( \frac{2}{5} \): \[ \frac{2}{5} = \frac{2 \times 9}{5 \times 9} = \frac{18}{45} \] 2. For \( \frac{19}{9} \): \[ \frac{19}{9} = \frac{19 \times 5}{9 \times 5} = \frac{95}{45} \] Now we can add the two fractions: \[ \frac{18}{45} + \frac{95}{45} = \frac{18 + 95}{45} = \frac{113}{45} \] Thus, the final result is: \[ \frac{2}{5} + \frac{19}{9} = \frac{113}{45} \] So, filling in the blanks: \[ \frac{2}{5} + \frac{19}{9} = - + \frac{113}{45} = \frac{113}{45} = \frac{113}{45} \]