Question

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

(−3)÷(34)×(27)×(−516)÷(57)
(
−
3
)
÷
(
3
4
)
×
(
2
7
)
×
(
−
5
16
)
÷
(
5
7
)

(1 point)

Answer 1

To solve the expression \((-3) ÷ (34) × (27) × (-516) ÷ (57)\), we can start by simplifying the terms step by step while being mindful of the order of operations.

First, let's rewrite the expression:

\[
(-3) ÷ (34) × (27) × (-516) ÷ (57)
\]

We can group the operations:

1. Calculate \((-3) ÷ (34)\):
\[
\frac{-3}{34}
\]

2. Then, multiply by \(27\):
\[
\frac{-3 \times 27}{34} = \frac{-81}{34}
\]

3. Next, multiply by \(-516\):
\[
\frac{-81 \times -516}{34} = \frac{81 \times 516}{34}
\]

4. Finally, divide by \(57\):
\[
\frac{81 \times 516}{34 \times 57}
\]

Now we will simplify that expression.

First, we can calculate \(34 \times 57\):
\[
34 \times 57 = 1938
\]

Next, let's calculate \(81 \times 516\):
\[
81 \times 516 = 41856
\]

Now we can combine the results:
\[
\frac{41856}{1938}
\]

To simplify this fraction, we can see if \(41856\) can be divided by \(1938\):
\[
\frac{41856}{1938} = 21.6
\]

Therefore, the result of the expression is:
\[
21.6
\]

Thus, the final answer is:
\[
\boxed{21.6}
\]