Explanation
Given
[tex]48\frac{2}{9}+(-39\frac{8}{9})[/tex]
We will have;
[tex]\begin{gathered} 48\frac{2}{9}+(-39\frac{8}{9}) \\ convert\text{ mixed numbers to improper fractions} \\ =\frac{434}{9}+\left(-\frac{359}{9}\right) \\ =\frac{434}{9}-\frac{359}{9} \\ \mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{c}-\frac{b}{c}=\frac{a-b}{c} \\ =\frac{434-359}{9} \\ \mathrm{Subtract\:the\:numbers:}\:434-359=75 \\ =\frac{75}{9} \\ Reduce\text{ to lowest fraction} \\ =\frac{25}{3} \end{gathered}[/tex]
The solution derived has a positive sign. Therefore;
Answer: Option A
