[tex] \frac{3}{16} + \frac{2}{9} [/tex]
find a common factor that can make the denominators (bottom number) the same number. In this case, that number is 144 (denominators multiplied (9 x 16) )
Multiple each side to get the denominator to equal 144.
[tex] \frac{3}{16} \frac{(9)}{(9)} = \frac{27}{144} \\ \\ \frac{2}{9} \frac{(16)}{(16)} = \frac{32}{144} [/tex]
[tex] \frac{27}{144} + \frac{32}{144} = \frac{59}{144} [/tex]
The sum is [tex] \frac{59}{144} [/tex]