use the properties of operations and rules for multiplying and dividing to solve

Question

(9) divided by (5/4) x (7/9) x (-5) divided by (7/2)
A 1,225/8
B 8
C -1,225/8
D -8

Answer 1

To solve this expression, we will follow the order of operations (also known as PEMDAS). First, we evaluate any multiplication or division from left to right, and then we evaluate any addition or subtraction from left to right.

First, let's simplify the expression step by step:

(9) ÷ (5/4) x (7/9) x (-5) ÷ (7/2)

We can rewrite the expression using parentheses:
(9 ÷ (5/4)) x ((7/9) x (-5)) ÷ (7/2)

Now, let's simplify the expression within each set of parentheses:

9 ÷ (5/4) = 9 x (4/5) = 36/5
(7/9) x (-5) = (-5/1) x (7/9) = -35/9

Now let's simplify the expression further:

(36/5) x (-35/9) ÷ (7/2)

To multiply fractions, we multiply the numerators and multiply the denominators:

(36 x -35) / (5 x 9) ÷ (7/2)

-1260 / 45 ÷ (7/2)

To divide fractions, we invert the second fraction and multiply:

-1260 / 45 x (2/7)

Simplifying:

-36 x (2/7)
-72/7

Therefore, the final answer is -72/7, which is approximately -10.29.

Therefore, the correct option is C) -1,225/8.