Answer:
[tex]\frac{12}{27}[/tex] Simplified version
Step-by-step explanation:
[tex](\frac{4}{5} + \frac{1}{3})[/tex] × [tex]\frac{5}{9}[/tex]
The first step would be to add together what is in the parenthesis. Make sure that both fractions have the same denominator. In this problem they don't, so we have to find the least common number that they both have. The number here would be 15. 5 × 3 = 15 and vise versa.
[tex]((\frac{4}{5} x \frac{3}{3}) + (\frac{1}{3} x \frac{5}{5}))[/tex] × [tex]\frac{5}{9}[/tex]
[tex](\frac{12}{15} + \frac{5}{15})[/tex] × [tex]\frac{5}{9}[/tex]
[tex](\frac{17}{15}[/tex] × [tex]\frac{5}{9}[/tex] Multiply straight across (denominators do NOT need to be the same)
[tex]\frac{85}{135} = \frac{12}{27}[/tex]
