(8/9)×(3/4)÷(1/9)×(-4/5)÷(3/5)
Let's solve this step by step.
First, we can multiply the fractions:
(8/9) * (3/4) = (24/36) = 2/3
Next, we can divide by another fraction:
(2/3) ÷ (1/9) = (2/3) * (9/1) = (18/3) = 6.
Then, we can multiply by another fraction:
6 * (-4/5) = (-24/5).
Finally, we can divide by one final fraction:
(-24/5) ÷ (3/5) = (-24/5) * (5/3) = (-120/15) = -8.
Therefore, the result of (8/9)×(3/4)÷(1/9)×(-4/5)÷(3/5) is -8.
To solve the expression (8/9) × (3/4) ÷ (1/9) × (-4/5) ÷ (3/5), we will follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
Step 1: Simplify the multiplication and division within the expression parentheses.
(8/9) × (3/4) ÷ (1/9) × (-4/5) ÷ (3/5) = (8/9) × (3/4) × (-4/5) = (-32/9) × (3/4) × (1/5) = (-96/180)
Step 2: Simplify the expression (-96/180) by dividing the numerator and denominator by their greatest common divisor (GCD).
The GCD of 96 and 180 is 12.
(-96/180) ÷ 12/12 = (-8/15) ÷ (15/15) = (-8/15)
Therefore, the result of the expression (8/9) × (3/4) ÷ (1/9) × (-4/5) ÷ (3/5) is -8/15.
To solve the expression (8/9) × (3/4) ÷ (1/9) × (-4/5) ÷ (3/5), we need to follow the order of operations, which is also known as the PEMDAS rule:
P: Parentheses (simplify expressions within parentheses first)
E: Exponents (perform any exponentiation)
MD: Multiplication and Division (perform multiplication and division from left to right)
AS: Addition and Subtraction (perform addition and subtraction from left to right)
Let's break it down step by step:
(8/9) × (3/4) ÷ (1/9) × (-4/5) ÷ (3/5)
First, let's simplify multiplication and division. Multiply the fractions from left to right:
(8/9) × (3/4) = (24/36) = (2/3)
Next, divide the fractions from left to right:
(2/3) ÷ (1/9) = (2/3) × (9/1) = (18/3) = 6
Now, continue dividing the fractions and multiply by -4/5:
6 × (-4/5) = -24/5
Finally, divide by 3/5:
-24/5 ÷ 3/5 = (-24/5) × (5/3) = -24/3 = -8
Therefore, the result of the expression (8/9) × (3/4) ÷ (1/9) × (-4/5) ÷ (3/5) is -8.