Answer:
-5
Step-by-step explanation:
We are given the expression:
![\frac{1}{4} [-5+5(-3)]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%20%5B-5%2B5%28-3%29%5D)
and asked to evaluate.
We must solve this expression according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.
Solve inside the brackets first. Multiply 5 and -3.
5 * -3= -15
![\frac{1}{4} [-5+-15]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%20%5B-5%2B-15%5D)
Add -5 and -15.
-5+-15= -20
![\frac{1}{4} [-20]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%20%5B-20%5D)
Finally, multiply 1/4 and -20, or divide -20 by 4.
1/4 * -20 = -5 OR -20/4= -5
![-5](https://tex.z-dn.net/?f=-5)
When evaluated, the expression 1/4 [ -5 +5(-3)] is equal to -5.