Hello!
Answer:-3
Step-by-step explanation:
First, convert mixed numbers to improper fractions.
[tex]-5 \frac{1}{3}-(-2\frac{1}{3})[/tex]
[tex]5\frac{1}{3}=\frac{5*3+1}{3}=\frac{16}{3}[/tex]
[tex]-\frac{16}{3}-(-2*\frac{1}{3})[/tex]
[tex]=-\frac{16}{3}-(-2\frac{1}{3})[/tex]
Again, convert mixed numbers to improper fractions.
[tex]-\frac{16}{3}-(-2\frac{1}{3})[/tex]
[tex]2\frac{1}{3}=\frac{2*3+1}{3}=\frac{7}{3}[/tex]
[tex]-\frac{16}{3}-(-\frac{7}{3})[/tex]
Next, apply rule.
[tex]-\frac{16}{3}+\frac{7}{3}[/tex]
Since the denominators are equal, combine the fractions.
[tex]\frac{-16+7}{3}[/tex]
Then, add and subtract by the numbers.
[tex]-16+7=-9[/tex]
[tex]=\frac{-9}{3}[/tex]
Apply the fraction rule.
[tex]-\frac{9}{3}[/tex]
Finally, divide into the numbers.
[tex]\frac{9}{3}=3[/tex]
[tex]=-3[/tex]
Hope this helps!
Thank you for posting your question at here on Brainly.
-Charlie
