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]
