What approximate value will come in place of question mark (?) in the following questions (You are not expected to calculate the exact value).

$(\frac{256.03}{15.99}÷\frac{3.98}{1.99})=?÷12.01$

The correct answer is 96.

To find the approximate value of the question mark (?), we round off each decimal number in the given expression to its nearest whole number for ease of calculation.

Let us approximate each term individually:
• $256.03\approx 256$
• $15.99\approx 16$
• $3.98\approx 4$
• $1.99\approx 2$
• $12.01\approx 12$

Now, substitute these approximate values back into the original equation:

$(\frac{256}{16}÷\frac{4}{2})=?÷12$

Step 1: Simplify the inner fractions inside the parentheses.
$\frac{256}{16}=16$
$\frac{4}{2}=2$

Step 2: Perform the division on the left side of the equation.
$(16÷2)=?÷12$
$8=?÷12$

Step 3: Solve for the question mark (?).
Multiply both sides of the equation by 12:
$?=8\times 12$
$?=96$

Thus, the approximate value in place of the question mark is 96.