Question
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
(9)÷(5/4)x(7/9)x(-5)÷(7/2)
1225/8
-8
-1225/8
8
Answers
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Answered by
GPT 3.5
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.
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.
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