To solve this, we can follow the order of operations and use the properties of multiplication and division.
Step 1: Begin by simplifying the division of -3 ÷ (3/4):
To divide a number by a fraction, we can multiply by its reciprocal. The reciprocal of 3/4 is 4/3.
So, -3 ÷ (3/4) becomes -3 x (4/3).
Multiplying, we get -12/3, which simplifies to -4.
Step 2: Now, let's multiply -4 by (2/7):
Multiplying -4 by 2/7, we get (-4)*(2/7) = -8/7.
Step 3: Next, multiply -8/7 by (-5/16):
Multiplying -8/7 by -5/16, we get (-8/7)*(-5/16) = 40/112.
This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 8:
40/112 simplifies to 5/14.
Step 4: Lastly, divide 5/14 by 5/7:
To divide a fraction by another fraction, we multiply by the reciprocal. The reciprocal of 5/7 is 7/5.
So, 5/14 divided by 5/7 becomes (5/14)*(7/5).
Multiplying, we get 35/70, which simplifies to 1/2.
Therefore, (-3) ÷(3/4) × (2/7) × (−5/16) ÷ (5/7) = 1/2.
Use the properties of operations and rules for multiplying and dividing to solve:
(−3) ÷(3/4) × (2/7) × (−5/16) ÷ (5/7)
9 answers
Use the properties of operations and rules for multiplying and dividing to solve:
(8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5)
(8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5)
To solve this, we can follow the order of operations and use the properties of multiplication and division.
Step 1: Begin by multiplying the numerators and denominators:
(8/9) × (−3/4) ÷ (1/9) × (−4/5) ÷ (3/5) = (-24/36) ÷ (4/45) ÷ (12/25)
Step 2: Simplify the division:
To divide fractions, we invert the second fraction and multiply.
(-24/36) ÷ (4/45) ÷ (12/25) = (-24/36) * (45/4) * (25/12)
Step 3: Multiply the numerators and denominators:
(-24/36) * (45/4) * (25/12) = (-24*45*25)/(36*4*12) = -2700/1728
Step 4: Simplify the fraction:
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 72.
-2700/1728 simplifies to -37.5/24.
Therefore, (8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5) equals -37.5/24.
Step 1: Begin by multiplying the numerators and denominators:
(8/9) × (−3/4) ÷ (1/9) × (−4/5) ÷ (3/5) = (-24/36) ÷ (4/45) ÷ (12/25)
Step 2: Simplify the division:
To divide fractions, we invert the second fraction and multiply.
(-24/36) ÷ (4/45) ÷ (12/25) = (-24/36) * (45/4) * (25/12)
Step 3: Multiply the numerators and denominators:
(-24/36) * (45/4) * (25/12) = (-24*45*25)/(36*4*12) = -2700/1728
Step 4: Simplify the fraction:
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 72.
-2700/1728 simplifies to -37.5/24.
Therefore, (8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5) equals -37.5/24.
Use the properties of operations and rules for multiplying and dividing to solve:
(8/9) × (− 3/4) ÷ (1/9) × (− 4/5) ÷ (3/5)
(8/9) × (− 3/4) ÷ (1/9) × (− 4/5) ÷ (3/5)
To solve this expression, we can follow the order of operations and use the properties of multiplication and division.
Step 1: Begin by multiplying the numerators and denominators:
(8/9) × (− 3/4) ÷ (1/9) × (− 4/5) ÷ (3/5) = (8 × -3 × -4)/(9 × 4 × 5 × 3)
Step 2: Simplify the multiplication:
(8 × -3 × -4)/(9 × 4 × 5 × 3) = (8 × 3 × 4)/(9 × 4 × 5 × 3)
Step 3: Cancel out common factors in the numerator and denominator:
In the numerator, we can cancel out a factor of 4 with one in the denominator, and in the denominator, we can cancel out a factor of 3 with one in the numerator.
Therefore, we have: (8 × 3 × 4)/(9 × 4 × 5 × 3) = (8 × 3)/(9 × 5)
Step 4: Multiply the numerators and denominators:
(8 × 3)/(9 × 5) = 24/45
Step 5: Simplify the fraction:
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3.
24/45 simplifies to 8/15.
Therefore, (8/9) × (− 3/4) ÷ (1/9) × (− 4/5) ÷ (3/5) equals 8/15.
Step 1: Begin by multiplying the numerators and denominators:
(8/9) × (− 3/4) ÷ (1/9) × (− 4/5) ÷ (3/5) = (8 × -3 × -4)/(9 × 4 × 5 × 3)
Step 2: Simplify the multiplication:
(8 × -3 × -4)/(9 × 4 × 5 × 3) = (8 × 3 × 4)/(9 × 4 × 5 × 3)
Step 3: Cancel out common factors in the numerator and denominator:
In the numerator, we can cancel out a factor of 4 with one in the denominator, and in the denominator, we can cancel out a factor of 3 with one in the numerator.
Therefore, we have: (8 × 3 × 4)/(9 × 4 × 5 × 3) = (8 × 3)/(9 × 5)
Step 4: Multiply the numerators and denominators:
(8 × 3)/(9 × 5) = 24/45
Step 5: Simplify the fraction:
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3.
24/45 simplifies to 8/15.
Therefore, (8/9) × (− 3/4) ÷ (1/9) × (− 4/5) ÷ (3/5) equals 8/15.
not right
Apologies for the mistake.
Let's solve it again step by step:
(8/9) × (− 3/4) ÷ (1/9) × (− 4/5) ÷ (3/5)
Step 1: Multiply the numerators together and the denominators together:
= (8 × -3 × -4) / (9 × 4 × 5 × 3)
Step 2: Simplify the multiplication:
= (96) / (540)
Step 3: Divide the numerator by the denominator:
= 96 / 540
Step 4: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 12:
= (8 × 12) / (45 × 12)
Step 5: Simplify further:
= 96 / 540
= 8 / 45
Therefore, (8/9) × (− 3/4) ÷ (1/9) × (− 4/5) ÷ (3/5) equals 8/45.
Let's solve it again step by step:
(8/9) × (− 3/4) ÷ (1/9) × (− 4/5) ÷ (3/5)
Step 1: Multiply the numerators together and the denominators together:
= (8 × -3 × -4) / (9 × 4 × 5 × 3)
Step 2: Simplify the multiplication:
= (96) / (540)
Step 3: Divide the numerator by the denominator:
= 96 / 540
Step 4: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 12:
= (8 × 12) / (45 × 12)
Step 5: Simplify further:
= 96 / 540
= 8 / 45
Therefore, (8/9) × (− 3/4) ÷ (1/9) × (− 4/5) ÷ (3/5) equals 8/45.
nope
Apologies for the continued confusion. Let's try to solve it step by step again:
(8/9) × (− 3/4) ÷ (1/9) × (− 4/5) ÷ (3/5)
Step 1: Perform the multiplications and divisions from left to right:
(8/9) × (− 3/4) = -24/36 = -2/3
Next, divide by (1/9):
(-2/3) ÷ (1/9) = (-2/3) × (9/1) = -18/3 = -6
Then, multiply by (− 4/5):
-6 × (− 4/5) = 24/5
Step 2: Simplify the resulting fraction:
24/5 cannot be simplified any further.
Therefore, the solution to (8/9) × (− 3/4) ÷ (1/9) × (− 4/5) ÷ (3/5) is 24/5.
(8/9) × (− 3/4) ÷ (1/9) × (− 4/5) ÷ (3/5)
Step 1: Perform the multiplications and divisions from left to right:
(8/9) × (− 3/4) = -24/36 = -2/3
Next, divide by (1/9):
(-2/3) ÷ (1/9) = (-2/3) × (9/1) = -18/3 = -6
Then, multiply by (− 4/5):
-6 × (− 4/5) = 24/5
Step 2: Simplify the resulting fraction:
24/5 cannot be simplified any further.
Therefore, the solution to (8/9) × (− 3/4) ÷ (1/9) × (− 4/5) ÷ (3/5) is 24/5.