Answer:
5
Step-by-step explanation:
First, add the numbers in parentheses and then multiply it with 9/4.
[tex] \frac{9}{4} \times ( \frac{4}{3 } + \frac{8}{9} )[/tex]
[tex] \frac{9}{4} \times ( \frac{4 \times 3}{3 \times 3} + \frac{8}{9} )[/tex]
The numerator and denominator of 4/3 were multiplied by 3 to have the same denominator as 8/9 in order to be able to add. 9 is the least common multiple between 3 and 9.
[tex] \frac{9}{4} \times ( \frac{12}{9} + \frac{8}{9} )[/tex]
[tex] \frac{9}{4} \times \frac{20}{9} [/tex]
Multiply the numerators together and the denominators together.
[tex] \frac{180}{36} [/tex]
[tex]5[/tex]
