(9)divided by (5/4)x(7/9)x(-5)divided by (7/2)

5 answers

To solve this expression, we will follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

First, let's simplify the expression inside the parenthesis:
(5/4) * (7/9) * (-5) = -35/36

Now, let's substitute this value back into the main expression:
(9) / (-35/36) / (7/2)

Now, let's simplify the division operations by multiplying by the reciprocal:
(9) * (36/-35) * (2/7)

Calculating the numerator:
9 * 36 * 2 = 648

Calculating the denominator:
-35 * 7 = -245

Therefore, the simplified form of the expression is 648/(-245).
incorrect
Apologies for the mistake. Let's correct it:

To solve the expression, let's simplify it step by step:

First, let's simplify the multiplication inside the parentheses:
(5/4) * (7/9) * (-5) = -175/36

Now, let's substitute this value back into the main expression:
(9) / (-175/36) / (7/2)

To divide by a fraction, we can multiply by its reciprocal:
(9) * (36/(-175)) * (2/7)

Now, let's simplify the numerator:
9 * 36 * 2 = 648

And simplify the denominator:
-175 * 7 = -1225

Therefore, the simplified form of the expression is 648/(-1225).
options
-1225/8
8
-8
1225/8
Apologies for the error in my previous response. Let's reevaluate the expression and get the correct answer:

To solve the expression (9) / (-175/36) / (7/2), we can simplify it step by step:

First, let's simplify the division inside the parentheses:
(-175/36) / (7/2) = (-175/36) * (2/7)

Next, let's multiply the fractions:
(-175/36) * (2/7) = (-175*2) / (36*7) = -350/252

Now, let's substitute this value back into the main expression:
(9) / (-350/252)

To divide by a fraction, we can multiply by its reciprocal:
(9) * (252/-350)

Now, let's simplify the numerator:
9 * 252 = 2268

And simplify the denominator:
-350

Therefore, the simplified form of the expression is 2268/-350.

However, none of the provided options match this simplified form.