Let's simplify the expression step by step.
Start with the expression:
\( 12(5 - 3) / 23(5 \cdot 5) \)First, simplify the expression inside the parentheses:
\( 5 - 3 = 2 \)
So, we have:
\( 12(2) / 23(5 \cdot 5) \)Then, evaluate \( 5 \cdot 5 \):
\( 5 \cdot 5 = 25 \)
Now, the expression becomes:
\( 12(2) / 23(25) \)Now, multiply:
\( 12 \cdot 2 = 24 \)
Thus, we have:
\( 24 / (23 \cdot 25) \)Now evaluate \( 23 \cdot 25 \):
\( 23 \cdot 25 = 575 \)Therefore, the expression simplifies to:
\( 24 / 575 \)Finally, to express this as a fraction, we say:
\( \frac{24}{575} \)
So, the simplified expression is \( \frac{24}{575} \).