$\frac{4.12}{7.09}÷63.88\times 48.99=?$

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

The correct answer is $\frac{7}{16}$.

To find the approximate value, we can round each term in the given expression to its nearest integer or easily divisible value:
- $4.12\approx 4$
- $7.09\approx 7$
- $63.88\approx 64$
- $48.99\approx 49$

Substitute these approximate values into the given expression:

$\left(\frac{4}{7}\right)÷64\times 49$

According to the order of operations, we perform division followed by multiplication:

$=\frac{4}{7}\times \frac{1}{64}\times 49$

We can rearrange the terms to simplify the calculation:

$=\left(\frac{4}{64}\right)\times \left(\frac{49}{7}\right)$

Simplify each part:

$=\frac{1}{16}\times 7$

Multiplying these terms yields:

$=\frac{7}{16}$

Therefore, the approximate value is $\frac{7}{16}$.