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.
It is not -175/336
Apologies for the mistake. Let's solve the expression again 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 indeed equal to -175/336.
Simplify -175/336
To simplify -175/336, we want to find the greatest common divisor (GCD) of both numbers and divide both the numerator and the denominator by the GCD.
The GCD of 175 and 336 is 7.
Dividing both the numerator and denominator by 7, we get:
-175/336 = (-175 ÷ 7) / (336 ÷ 7) = -25/48
Therefore, -175/336 simplified is -25/48.