5690:6600(56·88):88

To simplify the expression \( \frac{5690:6600(56.88)}{88} \), we need to clarify what the expression means. It looks like there may be a misinterpretation with the use of colons.

If we treat the colon as division, we can rewrite it:

1. Assume \(5690:6600\) means \( \frac{5690}{6600} \).
2. The expression inside the parentheses is multiplied next, so we consider \( 56.88 \) as a number.
3. Finally, we divide the entire result by \( 88 \).

Rewriting the expression gives us:

\[ \frac{\frac{5690}{6600} \times 56.88}{88} \]

Now, let's calculate step by step.

1. Calculate \( \frac{5690}{6600} \):

   \[ \frac{5690}{6600} \approx 0.8621 \quad (\text{rounding to four decimal places}) \]

2. Multiply that result by \( 56.88 \):

   \[ 0.8621 \times 56.88 \approx 49.0030 \quad (\text{rounding to four decimal places}) \]

3. Now divide that result by \( 88 \):

   \[ \frac{49.0030}{88} \approx 0.5563 \quad (\text{rounding to four decimal places}) \]

Therefore, the final result is approximately \( 0.5563 \).