Let's break down the expression step by step:

\[
\frac{(345 \times 546) + 56}{675}
\]

1. First, calculate \( 345 \times 546 \):

\[
345 \times 546 = 188,370
\]

2. Add 56 to the result:

\[
188,370 + 56 = 188,426
\]

3. Finally, divide by 675:

\[
\frac{188,426}{675} \approx 279.15
\]

So, the result of the expression is approximately **279.15**.

Would you like further details or have any questions?

Here are some related questions:
1. What are the properties of division involving large numbers?
2. How does multiplication affect the order of operations?
3. Can rounding affect the accuracy of a result?
4. How would this calculation change if the numbers were much larger?
5. What happens if you replace the division with multiplication at the end?

**Tip:** When dealing with large numbers, break down the operations step by step to minimize calculation errors.

Learn how to solve the arithmetic expression (345*546 + 56) / 675 with a detailed step-by-step breakdown. This solution demonstrates the order of operations involving multiplication, addition, and division. Suitable for students in Grades 6-8.

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