Use the properties of operations and rules for multiplying and dividing to solve:
(8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5)
(1 point)
To solve this expression, we can simplify it step by step, using the properties of operations and rules for multiplying and dividing.
First, let's multiply the fractions from left to right:
(8/9) × (-3/4) = -24/36
Next, let's divide by 1/9:
(-24/36) ÷ (1/9) = (-24/36) × (9/1) = -216/36 = -6
After that, let's multiply by (-4/5):
-6 × (-4/5) = 24/5
Finally, let's divide by 3/5:
(24/5) ÷ (3/5) = (24/5) × (5/3) = 120/15 = 8
So, the value of the expression is 8.
To solve the given expression (8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5), we can follow the order of operations (also known as PEMDAS) and use the properties of operations and rules for multiplying and dividing.
Step 1: Multiply the numerators and denominators of the fractions together, starting from left to right:
(8 × -3 × -4)/(9 × 4 × 1 × 9 × 5 × 3)
Step 2: Simplify the numerator and denominator:
-96/(9 × 4 × 1 × 9 × 5 × 3)
Step 3: Multiply all the numbers in the denominator together:
-96/(1620)
Step 4: Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor (GCD):
-96/1620 = -8/135
Therefore, the solution to the given expression is -8/135.
To solve the expression (8/9) × (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5), we can follow the order of operations: parentheses, multiplication and division from left to right.
First, let's simplify the multiplication and division portions:
(8/9) × (-3/4) ÷ (1/9) = (-2/3) ÷ (1/9) = (-2/3) * (9/1) = -18/3 = -6
Next, we multiply -6 by (-4/5):
-6 × (-4/5) = (6/1) × (4/5) = 24/5
Finally, we divide 24/5 by (3/5):
(24/5) ÷ (3/5) = (24/5) * (5/3) = 120/15 = 8
Therefore, the value of the given expression is 8.