Question

Use the properties of operations and rules for multiplying and dividing to solve:

(−3)÷(34)×(27)×(−516)÷(57)


(1 point)
Remaining Attempts : 3
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page 12 of 13

Answer 1

To solve the expression \((−3)÷(34)×(27)×(−516)÷(57)\), we can use the properties of operations step by step.

1. **Divide and Multiply in order from left to right**:
- Start with the first division: \((-3) ÷ (34)\):
\[
-3 ÷ 34 = -\frac{3}{34}
\]

2. **Multiply**:
Now, we need to multiply by \(27\):
\[
-\frac{3}{34} × 27 = -\frac{3 × 27}{34} = -\frac{81}{34}
\]

3. **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:
\[
\frac{81 × 516}{34} = \frac{81 × 516}{34} = \frac{41896}{34}
\]

4. **Final Division by \(57\)**:
Divide by \(57\):
\[
\frac{41896}{34} ÷ 57 = \frac{41896}{34 × 57}
\]

5. **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 \(\boxed{2}\).