answer : -2 1/3 - (-5) =
![2(2)/(3)](https://img.qammunity.org/2022/formulas/mathematics/college/s8vg08wonttbhn84qk30ocqfykp2wmavhd.png)
explanation : we need to convert the mixed numbers to improper fractions, then find the LCD and combine.
step 1 : convert the mixed number to an improper fraction
ex:
![-(7)/(3)-(-5)](https://img.qammunity.org/2022/formulas/mathematics/high-school/4dnugp3ot7puu62quiei4h8651n77qi1ki.png)
step 2 : when there is a - in front of an expression in parentheses, change the sign of each term in the expression
ex :
![-(7)/(3)+5](https://img.qammunity.org/2022/formulas/mathematics/high-school/2vnly7b794gkxa6zsbpjclh36zy1r6c0b1.png)
step 3 : calculate the sum
ex :
![(8)/(3)](https://img.qammunity.org/2022/formulas/mathematics/college/jjmembqqbv5aj3c1vlkxyphamv775txg44.png)
solution :
![(8)/(3)](https://img.qammunity.org/2022/formulas/mathematics/college/jjmembqqbv5aj3c1vlkxyphamv775txg44.png)
simplify:
![2(2)/(3)](https://img.qammunity.org/2022/formulas/mathematics/college/s8vg08wonttbhn84qk30ocqfykp2wmavhd.png)
exact form :
![(8)/(3)](https://img.qammunity.org/2022/formulas/mathematics/college/jjmembqqbv5aj3c1vlkxyphamv775txg44.png)
decimal form : 2.66666666 (repeating)
mixed number form :
![2(2)/(3)](https://img.qammunity.org/2022/formulas/mathematics/college/s8vg08wonttbhn84qk30ocqfykp2wmavhd.png)
hope this helps !
- audrey ♡