Use the properties of operations and rules for multiplying and dividing to solve: (9)÷(5/4)×(7/9)×(−5)÷(7/2) (1 point)

Answer 1

To solve this expression, we will use the following properties of operations and rules for multiplying and dividing:

1. Division of fractions: To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction.

2. Multiplication with negative numbers: When multiplying two numbers, if one of them is negative, the product will be negative.

Using these properties, we can simplify the expression:

(9) ÷ (5/4) × (7/9) × (-5) ÷ (7/2)

First, we can divide 9 by 5/4:

(9) ÷ (5/4) = 9 × (4/5) = 36/5

Next, we can multiply by 7/9:

(36/5) × (7/9) = (36 × 7)/(5 × 9) = 252/45

Now, let's multiply by -5:

(252/45) × (-5) = -5 × (252/45) = -1260/45

Finally, let's divide by 7/2:

(-1260/45) ÷ (7/2) = (-1260/45) × (2/7) = (-1260 × 2)/(45 × 7) = -2520/315

The simplified expression is -2520/315.