Answer :

[tex] \frac{1}{5}~+~ \frac{2}{9} [/tex]

Find the same denominators

[tex] \frac{9}{45}~+~ \frac{10}{45} [/tex]

[tex] \frac{9~+~10}{45} [/tex]

[tex] \frac{19}{45} [/tex]

Answer = [tex] \frac{19}{45} [/tex]



The answer is 19/45 because you have to make them the same denominator. The denominator would be 45 and so you would have to multiply 1/5 by 9 and you get 9/45 and then you multiply 2/9 by 5 and you get 10/45 and then you add those up and you get your answer.