(-3)divided by (3/4)x(2/7)x(-5/16)divided by (5/7)
To solve the given expression, we can follow the order of operations (PEMDAS/BODMAS):
First, let's divide the fractions:
(3/4) ÷ (2/7) = (3/4) x (7/2) = (3x7)/(4x2) = 21/8
Then, let's divide (5/7) by (-5/16):
(5/7) ÷ (-5/16) = (5/7) x (-16/5) = (5x-16)/(7x5) = -16/7
Finally, let's divide (-3) by the result we obtained above:
(-3) ÷ (21/8) = (-3) x (8/21) = (8x-3)/(21x1) = -24/21 = -8/7
Therefore, (-3) divided by (3/4) multiplied by (2/7) multiplied by (-5/16) divided by (5/7) equals -8/7.
thats wrong
Apologies for the mistake. Let's correct the solution.
First, let's simplify the expression within the parentheses:
(3/4) * (2/7) * (-5/16) = (3 * 2 * -5) / (4 * 7 * 16) = (-30) / (448)
Next, let's divide by (5/7):
(-30/448) / (5/7) = (-30/448) * (7/5) = (-30 * 7) / (448 * 5) = (-210) / (2240) = -21/224
Finally, let's divide (-3) by the result we obtained above:
-3 / (-21/224) = -3 * (224/(-21)) = (-3 * 224) / (-21) = -672 / (-21)
To simplify the fraction further, we can find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD is 21.
So, we can divide the numerator and denominator by 21:
(-672 / (-21)) = -672/(-21) = -(-32) = 32
Therefore, (-3)/(3/4) * (2/7) * (-5/16) / (5/7) equals 32.
wrong
Apologies for the incorrect response. Let's correct the solution.
Given expression: (-3)/(3/4) * (2/7) * (-5/16) / (5/7)
First, let's simplify the expression within the parentheses:
(3/4) * (2/7) * (-5/16) = (3 * 2 * -5) / (4 * 7 * 16) = -30 / 448
Now, let's divide (-3) by the result we obtained above:
(-3) / (-30/448) = (-3) * (448/(-30)) = (-3 * 448) / (-30) = 1344/30
Next, let's divide by (5/7):
(1344/30) / (5/7) = (1344/30) * (7/5) = (1344 * 7) / (30 * 5) = 9408 / 150
To simplify the fraction, we can find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD is 48.
So, we can divide the numerator and denominator by 48:
(9408 / 150) = (9408/48) / (150/48) = 196/25
Therefore, (-3)/(3/4) * (2/7) * (-5/16) / (5/7) equals 196/25.
To simplify the given expression (-3)÷(3/4)×(2/7)×(-5/16)÷(5/7), follow these steps:
Step 1: Divide -3 by (3/4):
To divide a number by a fraction, multiply the number by the reciprocal of the fraction.
So, (-3) ÷ (3/4) = (-3) × (4/3)
= (-3)×(4/3)
= -12/3
= -4
Step 2: Multiply the result by (2/7) :
Multiply -4 by (2/7) using regular multiplication.
So, -4 × (2/7) = -8/7
Step 3: Multiply the result by (-5/16):
Multiply -8/7 by (-5/16) using regular multiplication.
So, -8/7 × (-5/16) = 40/112
= 5/14
Step 4: Divide the result by (5/7):
To divide a fraction by another fraction, multiply the first fraction by the reciprocal of the second.
So, (5/14) ÷ (5/7) = (5/14) × (7/5)
= (5×7)/(14×5)
= 35/70
= 1/2
Therefore, the value of the expression (-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7) is 1/2.
To simplify this expression, you can follow these steps:
Step 1: Simplify the division of negative numbers:
(-3) divided by (5/7) = (-3) x (7/5) = -21/5
Step 2: Simplify the multiplication of fractions:
(3/4) x (2/7) x (-5/16) = (3 x 2 x (-5)) / (4 x 7 x 16) = (-30) / (448) = -15/224
Step 3: Divide the results obtained in steps 1 and 2:
(-21/5) divided by (-15/224) = (-21/5) x (224/(-15)) = (-21 x 224) / (5 x (-15)) = (-4704) / (-75) = 62.72
Therefore, (-3) divided by (3/4) x (2/7) x (-5/16) divided by (5/7) equals 62.72.