(9) divided by (5/4) times (7/9) times (-5) divided by (7/2)
A. 1,225/8
B. -8
C. 8
D. -1,225/8
To solve this equation, follow the order of operations (PEMDAS/BODMAS):
First, divide (9) by (5/4):
9 / (5/4) = 9 * (4/5) = 36/5
Next, multiply (36/5) by (7/9):
(36/5) * (7/9) = (36 * 7) / (5 * 9) = 252/45
Then, multiply (252/45) by (-5):
(2552/45) * (-5) = -2520/45
Finally, divide (-2520/45) by (7/2):
(-2520/45) / (7/2) = (-2520/45) * (2/7) = -5040/315 = -16
So, the answer is B. -8.
To solve this problem, follow the order of operations (PEMDAS - Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Step 1: Convert the mixed fractions to improper fractions.
(9) divided by (5/4) times (7/9) times (-5) divided by (7/2)
Step 2: Simplify each component of the expression.
9 divided by (5/4) = 9 * (4/5) = 36/5
(7/9) times (-5) = (7/9) * (-5) = -35/9
(-5) divided by (7/2) = (-5) * (2/7) = -10/7
Step 3: Apply multiplication and division from left to right.
36/5 times -35/9 times -10/7
= (36 * -35 * -10) / (5 * 9 * 7)
= 12600 / 315
Step 4: Simplify the fraction if possible.
12600 and 315 have a common factor of 315.
= (12600 / 315) divided by (315 / 315)
= 12600 / 315
= 40
Step 5: Final answer
So, the final answer is C. 40.
To solve this expression, you need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Let's break down the expression step by step:
Step 1: Simplify the numerator: (9) divided by (5/4)
To divide by a fraction, you multiply by its reciprocal. The reciprocal of (5/4) is (4/5).
So, (9) divided by (5/4) simplifies to (9) multiplied by (4/5) = 36/5.
Step 2: Simplify the entire expression:
(36/5) times (7/9) times (-5) divided by (7/2)
We can now simplify the expression by multiplying and dividing from left to right:
(36/5) times (7/9) times (-5) divided by (7/2)
= (36 * 7 * -5) / (5 * 9 * 7/2)
Step 3: Simplify further:
= -180 / (45/2)
To divide by a fraction, you multiply by its reciprocal. The reciprocal of (45/2) is (2/45).
Therefore, (-180) divided by (45/2) simplifies to (-180) multiplied by (2/45) = -8.
So, the final answer is -8, which corresponds to option B.