Use the properties of operations and rules for multiplying and dividing to solve
(9)÷(5/4)x(7/9)x(-5)÷(7/2)
1225/8
-8
-1225/8
8
To solve this expression, we can follow the order of operations (PEMDAS) and work from left to right, performing the division and multiplication operations first.
1. First, we divide 9 by (5/4):
9 ÷ (5/4) = 9 × (4/5) = 36/5
2. Next, we multiply (36/5) by (7/9):
(36/5) × (7/9) = (36 × 7)/(5 × 9) = 252/45
3. Then, we multiply (252/45) by (-5):
(252/45) × (-5) = (252 × -5)/45 = -1260/45 = -28/1 = -28
4. Finally, we divide (-28) by (7/2):
(-28) ÷ (7/2) = (-28) × (2/7) = (-28 × 2)/7 = -56/7 = -8
So, the final result is -8.
To solve the expression (9) ÷ (5/4) x (7/9) x (-5) ÷ (7/2), let's break it down step-by-step and keep track of the operations using the properties and rules for multiplying and dividing.
Step 1: Convert the division to multiplication by taking the reciprocal of the second fraction:
(9) x (4/5) x (7/9) x (-5) x (2/7)
Step 2: Simplify the expression by canceling out common factors:
(9 * 2) x (4/5 * 7/9) x (-5 * 7)
Step 3: Perform the multiplications within parentheses and reduce:
18 x (28/45) x (-35)
Step 4: Simplify further by multiplying and adjusting the signs:
-35 x (28/45) x 18
Step 5: Multiply the numbers:
-35 * 28 * 18 = -17640
Step 6: Simplify the expression:
-17640/45
Step 7: Divide the numerator by the denominator:
-17640 ÷ 45 = -392
Therefore, the expression (9) ÷ (5/4) x (7/9) x (-5) ÷ (7/2) simplifies to -392.