Answer: [tex]2\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]-2\frac{1}{3}-(-5)=[/tex]
Convert the mixed number to improper fraction. You can do this by multiplying the whole number times the denominator and adding the numerator; over the same denominator.
[tex]-\frac{2*3+1}{3} -(-5)=[/tex]
Solve;
[tex]-\frac{6+1}{3} -(-5)=[/tex]
[tex]-\frac{7}{3} -(-5)=[/tex]
Now, get rid of the two negatives by multiplying.
[tex]-\frac{7}{3} +5=[/tex]
Remember 5 has a 1 below; therefore, we can subtract these two fractions by getting both to a same denominator. Let's rewrite 5 as a fraction.
[tex]-\frac{7}{3}+\frac{5}{1} =[/tex]
To be able to convert 1 to 3, we have to multiply by 3. Remember that if you change the denominator, you have to change the numerator as well.
[tex]-\frac{7}{3}+\frac{5}{1} (\frac{3}{3} ) =[/tex]
Solve;
[tex]-\frac{7}{3}+\frac{15}{3} =[/tex]
Subtract numerators and keep the same denominator.
[tex]\frac{-7+15}{3}=\frac{8}{3}[/tex]
Convert to a mixed number. To do this, first, divide:
8/3=2
6
----
2
The 2 after the equal sign is the whole number, the two in the remainder is the numerator and the 3 is the denominator. Leaving our result as: [tex]2\frac{2}{3}[/tex]
