Use the properties of operations and rules for multiplying and dividing signed numbers to solve:
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1 point
(-2/3) x (-3) divided by (-6/11) x (3/4)
2 3/4
-2 3/4
81/99
-81/99
To solve the expression (-2/3) x (-3) ÷ (-6/11) x (3/4), we can simplify each component separately and then perform the division and multiplication.
First, let's simplify (-2/3) x (-3):
(-2/3) x (-3) = (2/3) x (3) = 6/3 = 2
Next, let's simplify (-6/11) x (3/4):
(-6/11) x (3/4) = (-18/44) = (-9/22)
Then, let's perform the division: 2 ÷ (-9/22)
Dividing by a fraction is the same as multiplying by its reciprocal, so we have:
(2/1) x (22/-9) = (-44/9)
Therefore, the expression (-2/3) x (-3) ÷ (-6/11) x (3/4) simplifies to -44/9, which can also be written as -4 8/9.
To solve (-2/3) x (-3) divided by (-6/11) x (3/4), we can follow these steps:
Step 1: Multiply the numerators and denominators of the fractions separately.
(-2/3) x (-3) = 6/3 = 2
(-6/11) x (3/4) = -18/44 = -9/22
Step 2: Divide the products of the numerators and denominators.
(2) ÷ (-9/22)
Step 3: To divide by a fraction, we can multiply by its reciprocal. So, we can rewrite the division as multiplication by the reciprocal.
(2) x (22/-9) = -44/9
Therefore, the solution is -44/9, which is equivalent to -4 4/9.
To solve the given expression: (-2/3) x (-3) ÷ (-6/11) x (3/4), we can use the properties of operations and rules for multiplying and dividing signed numbers.
Step 1: Simplify the multiplication of the numerators:
(-2/3) x (-3) = 6/3 = 2
Step 2: Simplify the multiplication of the denominators:
(-6/11) x (3/4) = -18/44 = -9/22
Step 3: Divide the numerator, 2, by the denominator, -9/22:
2 ÷ (-9/22) = 2 x (-22/9) = -44/9
Step 4: Simplify the division:
-44/9 = -4 and 8/9 = -4 8/9
Therefore, the solution to the given expression is -4 8/9.