Respuesta :

gmany

Answer:

[tex]\large\boxed{9\dfrac{5}{36}}[/tex]

Step-by-step explanation:

[tex]3\dfrac{1}{4}+5\dfrac{8}{9}\qquad\text{find}\ LCD=(4)(9)=36\\\\=3\dfrac{1\cdot9}{4\cdot9}+5\dfrac{8\cdot4}{9\cdot4}=3\dfrac{9}{36}+5\dfrac{32}{36}=(3+5)+\dfrac{9+32}{36}=8+\dfrac{41}{36}\\\\=8+1\dfrac{5}{36}=9\dfrac{5}{36}[/tex]

Answer:

329/36 (9 5/36 simplified)

Step-by-step explanation:

First, you convert the fractions so they both have the same denominator.

3 1/4 = 13/4 = 117 /36

5 8/9 = 53/9 = 212/36

Now that you have the same denominator, you add the numerators together but not the denominators.

117 / 36 + 212 / 36 = 329/36

Simplified, 329/36 is 9 5/36