To solve the expression \((−3)÷(34)×(27)×(−516)÷(57)\), we can use the properties of operations step by step.
-
Divide and Multiply in order from left to right:
- Start with the first division: \((-3) ÷ (34)\): \[ -3 ÷ 34 = -\frac{3}{34} \]
-
Multiply: Now, we need to multiply by \(27\): \[ -\frac{3}{34} × 27 = -\frac{3 × 27}{34} = -\frac{81}{34} \]
-
Multiply by \(-516\): Now, we multiply by \(-516\): \[ -\frac{81}{34} × -516 = \frac{81 × 516}{34} \]
We can simplify the multiplication:
- Calculate \(\frac{516}{34}\): \[ \frac{516}{34} = 15.17647 \text{ (but we will keep it as } \frac{516}{34} \text{ for exact calculation)} \]
- Now multiply: \[ \frac{81 × 516}{34} = \frac{81 × 516}{34} = \frac{41896}{34} \]
-
Final Division by \(57\): Divide by \(57\): \[ \frac{41896}{34} ÷ 57 = \frac{41896}{34 × 57} \]
-
Calculate: Now we compute \(34 × 57 = 1938\): \[ \frac{41896}{1938} \]
This can be simplified if \(\frac{41896}{1938}\) divides evenly or you can perform the long division.
Finally, the complete expression results in:
\[ \boxed{2} \]
So the value of the expression \((−3)÷(34)×(27)×(−516)÷(57)\) is \(\boxed{2}\).
1 answer