To analyze the expression given:
\[ \frac{(2,385 - 846)}{4} \]
we first evaluate \( (2,385 - 846) \).
Calculating this:
\[ 2,385 - 846 = 1,539 \]
Next, we substitute this value back into the expression:
\[ \frac{(1,539)}{4} \]
Now, let's simplify this:
\[ \frac{1,539}{4} = 384.75 \]
Now, let’s analyze the answer choices:
A. The given expression is 4 times the value of \( (2,385 − 846) \).
This is false because \( \frac{(2,385 - 846)}{4} \) is not equal to \( 4 \times (2,385 - 846) \).
B. The given expression is 4 divided by the value of \( (2,385 − 846) \).
This is false because \( \frac{(2,385 - 846)}{4} \) is not \( \frac{4}{(2,385 - 846)} \).
C. The given expression is one-fourth the value of \( (2,385 − 846) \).
This is true, since \( \frac{(2,385 - 846)}{4} \) is indeed one-fourth of \( (2,385 - 846) \).
D. The given expression is 4 less than the value of \( (2,385 − 846) \).
This is false because \( \frac{(2,385 - 846)}{4} \) is not \( (2,385 - 846) - 4 \).
The correct result is C: The given expression is one-fourth the value of \( (2,385 − 846) \).