Answer:
-5
Explanation:
We are given the expression:
![(1)/(4) [-5+5(-3)]](https://img.qammunity.org/2021/formulas/mathematics/high-school/hr1g5k64yvd1a5cqb2065947qcdsx8e9o3.png)
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
![(1)/(4) [-5+-15]](https://img.qammunity.org/2021/formulas/mathematics/high-school/w1eeea6cdsokps1xrokndfjfp9py5busnb.png)
Add -5 and -15.
-5+-15= -20
![(1)/(4) [-20]](https://img.qammunity.org/2021/formulas/mathematics/high-school/teiyg2327cbsxgytukrwk3zvaj7a395xr9.png)
Finally, multiply 1/4 and -20, or divide -20 by 4.
1/4 * -20 = -5 OR -20/4= -5

When evaluated, the expression 1/4 [ -5 +5(-3)] is equal to -5.