-3 / 3/4 times 2/7 times - 5/16 / 5/7
To simplify the given expression, let's break it down step by step:
First, let's convert the mixed number -3 to an improper fraction:
-3 = -3/1
Next, let's divide -3/3/4. To divide fractions, we multiply by the reciprocal of the second fraction:
-3/3/4 = -3/1 * 4/3 = -12/3 = -4
Now, let's multiply -4 by 2/7:
-4 * 2/7 = -8/7
Moving on, let's deal with the next division: -5/16 ÷ 5/7. To divide fractions, we multiply by the reciprocal of the second fraction:
(-5/16) * (7/5) = -35/80
Finally, let's multiply the two fractions obtained so far:
(-8/7) * (-35/80) = 280/560 = 1/2
Therefore, the simplified result of the expression -3 / 3/4 times 2/7 times - 5/16 / 5/7 is 1/2.
8/9 x - 3/4 -3 / 3/4 divided by 1/9 x - 4/5
÷3/5
To simplify the given expression, let's break it down step by step:
First, let's multiply 8/9 by -3/4:
(8/9) * (-3/4) = -24/36 = -2/3
Next, let's divide -2/3 by 3/4. To divide fractions, we multiply by the reciprocal of the second fraction:
(-2/3) ÷ (3/4) = (-2/3) * (4/3) = -8/9
Moving on, let's multiply 1/9 by -4/5:
(1/9) * (-4/5) = -4/45
Finally, let's divide -8/9 by -4/45. To divide fractions, we multiply by the reciprocal of the second fraction:
(-8/9) ÷ (-4/45) = (-8/9) * (-45/4) = 360/36 = 10
Therefore, the simplified result of the expression 8/9 x -3/4 - 3 / 3/4 divided by 1/9 x -4/5 ÷ 3/5 is 10.
8/9 x - - 3/4 divided by 1/9 x - 4/5
÷3/5
To simplify the given expression, let's break it down step by step:
First, let's simplify the double negative in the expression. - - 3/4 is the same as 3/4:
- - 3/4 = 3/4
Next, let's multiply 8/9 by 3/4:
(8/9) * (3/4) = 24/36 = 2/3
Moving on, let's multiply 1/9 by -4/5:
(1/9) * (-4/5) = -4/45
Finally, let's divide 2/3 by -4/45. To divide fractions, we multiply by the reciprocal of the second fraction:
(2/3) ÷ (-4/45) = (2/3) * (-45/4) = -90/12 = -15/2
Now, let's divide -15/2 by 3/5. To divide fractions, we multiply by the reciprocal of the second fraction:
(-15/2) ÷ (3/5) = (-15/2) * (5/3) = -75/6 = -25/2
Therefore, the simplified result of the expression 8/9 x - - 3/4 divided by 1/9 x - 4/5 ÷ 3/5 is -25/2.
(8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5)
(1 point)
To simplify the given expression, let's break it down step by step:
First, let's multiply (8/9) by (−3/4):
(8/9)×(−3/4) = -24/36 = -2/3
Next, let's divide (-2/3) by (1/9):
(-2/3) ÷ (1/9) = (-2/3) × (9/1) = -18/3 = -6
Moving on, let's multiply (-4/5) by (3/5):
(-4/5) × (3/5) = -12/25
Finally, let's divide (-6) by (-12/25):
(-6) ÷ (-12/25) = (-6) × (-25/12) = 150/12 = 25/2
Therefore, the simplified result of the expression (8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5) is 25/2.
no
I apologize for any confusion. Let's reevaluate the expression.
(8/9) × (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5)
First, let's multiply (8/9) by (-3/4):
(8/9) × (-3/4) = -24/36 = -2/3
Next, let's divide (-2/3) by (1/9):
(-2/3) ÷ (1/9) = (-2/3) × (9/1) = -18/3 = -6
Now, let's multiply (-4/5) by (-6):
(-4/5) × (-6) = 24/5
Finally, let's divide 24/5 by (3/5):
(24/5) ÷ (3/5) = (24/5) × (5/3) = 120/15 = 8
Therefore, the simplified result of the expression (8/9) × (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5) is 8.