Answer:

[tex]\frac{47}{9}[/tex]  or  [tex]5\frac{2}{9}[/tex]

Step-by-step explanation:

Write out expression:

[tex]-3\frac{1}{9} – (-8\frac{1}{3} )[/tex]

Multiply the whole numbers into the fractions:

[tex]-\frac{28}{9} -(-\frac{25}{3})[/tex]

Remove parentheses

[tex]-\frac{28}{9} + \frac{25}{3}[/tex]

Multiply the second fraction by [tex]\frac{3}{3}[/tex] to reach a common denominator

[tex]-\frac{28}{9}+\frac{75}{9}[/tex]

Add

[tex]\frac{47}{9}[/tex]

Simplify into a top-heavy fraction or a mixed fraction (whichever your homework wants)

[tex]\frac{47}{9}[/tex] or [tex]5\frac{2}{9}[/tex]