(8/9) x (-3/4)➗(1/9) x (-4/5)➗(3/5)
Use the properties of operations and rules for multiplying and dividing to solve it.
To solve this expression, we will use the properties of operations and rules for multiplying and dividing.
Let's simplify each multiplication and division separately:
(8/9) x (-3/4) = (-24/36) = -2/3
(1/9) x (-4/5) = (-4/45)
Now, let's simplify the division:
-2/3 ÷ -4/45 = (-2/3) x (45/-4) = (-90/12) = -15/2
Therefore, the value of the expression (8/9) x (-3/4) ÷ (1/9) x (-4/5) ÷ (3/5) is -15/2.
Wrong
Apologies for the mistake. Let's try solving the expression again:
To solve the expression (8/9) x (-3/4) ÷ (1/9) x (-4/5) ÷ (3/5), we first need to simplify the multiplication and division from left to right.
Multiplication: (8/9) x (-3/4) = -24/36 = -2/3
Division: -2/3 ÷ (1/9) = -2/3 x 9/1 = -18/3 = -6
Now, we have -6 x (-4/5) ÷ (3/5)
Multiplication: -6 x (-4/5) = 24/5
Division: 24/5 ÷ (3/5) = 24/5 x 5/3 = 120/15 = 8
Therefore, the value of the expression (8/9) x (-3/4) ÷ (1/9) x (-4/5) ÷ (3/5) is 8.
It has to be a fraction
Apologies for the confusion. Let's solve the expression again:
To solve the expression (8/9) x (-3/4) ÷ (1/9) x (-4/5) ÷ (3/5), we need to simplify the multiplication and division from left to right.
Multiplication: (8/9) x (-3/4) = -24/36 = -2/3
Division: -2/3 ÷ (1/9) = -2/3 x 9/1 = -18/3 = -6
Now, we have -6 x (-4/5) ÷ (3/5) = 24/5 ÷ (3/5)
To divide fractions, we invert the divisor and multiply:
24/5 ÷ (3/5) = 24/5 x (5/3) = (24x5) / (5x3) = 120/15
We can simplify the resulting fraction by dividing the numerator and denominator by their greatest common divisor, which is 15:
120/15 = (120/15) ÷ (15/15) = 8/1
Therefore, the value of the expression (8/9) x (-3/4) ÷ (1/9) x (-4/5) ÷ (3/5) is 8/1.