Let's first simplify the expression on the right side of the equation:
Given: \[ A = 5 - 113 \]
Calculating \( 5 - 113 \): \[ 5 - 113 = -108 \]
Now, we need to check each expression for \( A \) to see which one equals -108.
-
Option 1: \( A = 1 \frac{2}{3} + 13 \)
- \( 1 \frac{2}{3} = \frac{5}{3} \)
- \( \frac{5}{3} + 13 = \frac{5}{3} + \frac{39}{3} = \frac{44}{3} \approx 14.67 \) (not equal to -108)
-
Option 2: \( A = \frac{15}{3} + 13 \)
- \( \frac{15}{3} = 5 \)
- \( 5 + 13 = 18 \) (not equal to -108)
-
Option 3: \( A = -1 \frac{2}{3} + 13 \)
- \( -1 \frac{2}{3} = -\frac{5}{3} \)
- \( -\frac{5}{3} + 13 = -\frac{5}{3} + \frac{39}{3} = \frac{34}{3} \approx 11.33 \) (not equal to -108)
-
Option 4: \( A = 1 \frac{2}{3} - 13 \)
- \( 1 \frac{2}{3} = \frac{5}{3} \)
- \( \frac{5}{3} - 13 = \frac{5}{3} - \frac{39}{3} = -\frac{34}{3} \approx -11.33 \) (not equal to -108)
None of these options provide the equivalent to -108.
It seems there's a misunderstanding as the expressions provided do not yield an answer of -108. Please ensure that the expressions are correct or provide additional context to solve this correctly.