First change both fractions so that they will have a common denominator. The greatest common factor of both denominators, 5 and 9, is 45. Therefore, 45 will be your new common denominator.
Now change both fractions:
[tex] \frac{2 \times 9}{5 \times 9} = \frac{18}{45} [/tex]
[tex] \frac{8 \times 5}{9 \times 5} = \frac{40}{45} [/tex]
Now add the 2 new fractions:
[tex] \frac{18}{45} + \frac{40}{45} = \frac{58}{45} \rightarrow 1 \frac{13}{45} [/tex]
Your answer is [tex] 1 \frac{13}{45} [/tex]
