Directions: Determine the approximate value that should replace the question mark (?) in the following mathematical expression (exact calculation is not expected).

$\frac{2.98}{8.04}÷74.92\times 55.88=?$

The correct answer is $\frac{7}{25}$.

Step 1: Round off the numbers to their nearest integers for approximation.

$2.98\approx 3$

$8.04\approx 8$

$74.92\approx 75$

$55.88\approx 56$

Step 2: Substitute the approximate values into the given mathematical expression.

$\frac{3}{8}÷75\times 56$

Step 3: Simplify the expression step-by-step.

First, rewrite the division by 75 as multiplication by its reciprocal $\frac{1}{75}$:

$=\frac{3}{8}\times \frac{1}{75}\times 56$

Next, simplify $\frac{3}{75}$ by dividing both numerator and denominator by 3:

$\frac{3}{75}=\frac{1}{25}$

Substitute this back into the expression:

$=\frac{1}{25}\times \frac{56}{8}$

Simplify $\frac{56}{8}$:

$\frac{56}{8}=7$

Finally, multiply the remaining factors:

$=\frac{1}{25}\times 7=\frac{7}{25}$

Thus, the approximate value of the question mark (?) is $\frac{7}{25}$.