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.
(-3)divided by (3/4)x(2/7)x(-5/16)divided by (5/7)
5 answers
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.
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.
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.