Use the properties of operations and rules for multiplying and dividing to solve (-3)÷(3/4)×(2/7)×(-5/16)÷(5/7)
To solve (-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7), we'll follow the order of operations, which is parentheses, multiplication/division (from left to right), and then addition/subtraction (from left to right).
First, let's simplify the division (-3) ÷ (3/4):
(-3) ÷ (3/4) = (-3) × (4/3) = -12/3 = -4
Now, our expression becomes: -4 × (2/7) × (-5/16) ÷ (5/7)
Next, let's simplify the multiplication -4 × (2/7):
-4 × (2/7) = (-4) × (2/1) × (1/7) = -8/7
Our expression becomes: -8/7 × (-5/16) ÷ (5/7)
Finally, let's simplify the multiplication -8/7 × (-5/16):
-8/7 × (-5/16) = (-8) × (-5) / (7 × 16) = 40/112 = 5/14
Our expression becomes: 5/14 ÷ (5/7)
To divide by a fraction, we can multiply by its reciprocal. Therefore, 5/14 ÷ (5/7) becomes 5/14 × (7/5):
5/14 × (7/5) = (5 × 7) / (14 × 5) = 35/70 = 1/2
Therefore, (-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7) is equal to 1/2.
Use the properties of operations and rules for multiplying and dividing to solve (8/9)×(-3/4)÷(1/9)×(-4/5)÷(3/5
To solve (8/9) × (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5), we'll again follow the order of operations.
First, let's simplify the multiplication (8/9) × (-3/4):
(8/9) × (-3/4) = (8 × -3) / (9 × 4) = -24/36 = -2/3
Now our expression becomes: -2/3 ÷ (1/9) × (-4/5) ÷ (3/5)
Next, let's simplify the division -2/3 ÷ (1/9):
-2/3 ÷ (1/9) = -2/3 × (9/1) = -2/1 × 3/9 = -6/9 = -2/3
Our expression becomes: -2/3 × (-4/5) ÷ (3/5)
Now, let's simplify the multiplication -2/3 × (-4/5):
-2/3 × (-4/5) = (-2) × (-4) / (3 × 5) = 8/15
Our expression becomes: 8/15 ÷ (3/5)
Finally, let's simplify the division 8/15 ÷ (3/5):
8/15 ÷ (3/5) = 8/15 × (5/3) = (8 × 5) / (15 × 3) = 40/45 = 8/9
Therefore, (8/9) × (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5) is equal to 8/9.
That is not right
I apologize for the incorrect answer. Let's solve it again correctly.
To solve (8/9) × (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5), we'll follow the order of operations.
First, let's simplify the multiplication (8/9) × (-3/4):
(8/9) × (-3/4) = (8 × -3) / (9 × 4) = -24/36 = -2/3
Next, let's simplify the division -2/3 ÷ (1/9):
To divide by a fraction, we can multiply by its reciprocal.
-2/3 ÷ (1/9) = -2/3 × (9/1) = -2/3 × 9 = -18/3 = -6
Our expression now becomes: -6 × (-4/5) ÷ (3/5)
Next, let's simplify the multiplication -6 × (-4/5):
-6 × (-4/5) = (-6 × -4) / 5 = 24/5
Our expression now becomes: 24/5 ÷ (3/5)
Finally, let's simplify the division 24/5 ÷ (3/5):
To divide by a fraction, we can multiply by its reciprocal.
24/5 ÷ (3/5) = 24/5 × (5/3) = (24 × 5) / (5 × 3) = 120/15 = 8
Therefore, (8/9) × (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5) is equal to 8.
Use the properties of operations and rules for multiplying and dividing to solve (-3/4)×(5/16)×(7/12)÷(-3/16)×(-5/7)
To solve (-3/4) × (5/16) × (7/12) ÷ (-3/16) × (-5/7), we'll follow the order of operations.
First, let's simplify the multiplication (-3/4) × (5/16):
(-3/4) × (5/16) = (-3 × 5) / (4 × 16) = -15/64
Now, our expression becomes: -15/64 × (7/12) ÷ (-3/16) × (-5/7)
Next, let's simplify the multiplication -15/64 × (7/12):
(-15/64) × (7/12) = (-15 × 7) / (64 × 12) = -105/768
Our expression becomes: -105/768 ÷ (-3/16) × (-5/7)
Now, let's simplify the division -105/768 ÷ (-3/16):
To divide by a fraction, we can multiply by its reciprocal.
-105/768 ÷ (-3/16) = -105/768 × (-16/3) = (105 × 16) / (768 × 3) = 1680/2304 = 35/48
Our expression now becomes: 35/48 × (-5/7)
Finally, let's simplify the multiplication 35/48 × (-5/7):
(35/48) × (-5/7) = (35 × -5) / (48 × 7) = -175/336
Therefore, (-3/4) × (5/16) × (7/12) ÷ (-3/16) × (-5/7) is equal to -175/336.
That is rong
Apologies for the mistake. Let's solve the expression correctly.
To solve (-3/4) × (5/16) × (7/12) ÷ (-3/16) × (-5/7), we'll follow the order of operations.
First, let's simplify the multiplication (-3/4) × (5/16):
(-3/4) × (5/16) = (-3 × 5) / (4 × 16) = -15/64
Next, let's simplify the multiplication -15/64 × (7/12):
(-15/64) × (7/12) = (-15 × 7) / (64 × 12) = -105/768
Our expression now becomes: -105/768 ÷ (-3/16) × (-5/7)
Now, let's simplify the division -105/768 ÷ (-3/16):
Dividing by a fraction is equivalent to multiplying by its reciprocal.
-105/768 ÷ (-3/16) = -105/768 × (-16/3) = (105 × 16) / (768 × 3) = 1680/2304 = 35/48
Our expression now becomes: 35/48 × (-5/7)
Finally, let's simplify the multiplication 35/48 × (-5/7):
Multiplying numerators and denominators, we get:
(35 × -5) / (48 × 7) = -175/336
Therefore, (-3/4) × (5/16) × (7/12) ÷ (-3/16) × (-5/7) is equal to -175/336.