Use the properties of operations and rules for multiplying and dividing to solve:
(- 3) / (3/4) * (2/7)(- 5/16) / (5/7)
(1 point)
I apologize for the mistake. Let's solve the expression correctly.
(- 3) / (3/4) * (2/7)(- 5/16) / (5/7)
First, we will simplify the division:
(- 3) / (3/4) = (- 3) * (4/3) = - 12/3 = - 4
Next, we'll simplify the multiplication:
(2/7)(- 5/16) = (2 * - 5) / (7 * 16) = - 10 / 112 = - 5/56
Now, we can simplify the remaining division:
(- 5/56) / (5/7) = (- 5/56) * (7/5) = - 35/280 = - 1/8
Finally, we'll multiply the results:
(- 4) * (- 1/8) = 4/8 = 1/2
Therefore, the correct answer is 1/2. I apologize for any confusion caused.
To solve the given expression, we will follow the order of operations (PEMDAS - Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
First, let's simplify the expression step by step:
(-3) / (3/4) * (2/7)(-5/16) / (5/7)
=> -3 * (2/7)(-5/16) / (3/4) * (5/7)
=> -3 * (-5/16 * 2/7) / (3/4 * 5/7)
Now, we multiply the numerators and denominators:
= -3 * (-10/112) / (15/28)
Next, we can simplify the fractions and perform the division:
= (-3 * -10) / (15 * 14)
= 30 / 210
Finally, we simplify the fraction:
= 1/7
Therefore, (-3) / (3/4) * (2/7)(-5/16) / (5/7) simplifies to 1/7.
The answer is wrong
Use the properties of operations and rules for multiplying and dividing to solve: (8/9)(- 3/4) / (1/9) * (- 4/5) / (3/5)
(1 point)
To solve the expression (- 3) / (3/4) * (2/7)(- 5/16) / (5/7), let's break it down step by step:
Step 1: First, let's simplify the division (- 3) / (3/4) by multiplying the numerator by the reciprocal of the denominator:
= (-3) * (4/3)
= -12/3
= -4
Step 2: Next, let's multiply the result from step 1 by (2/7)(- 5/16):
= -4 * (2/7)(- 5/16)
To multiply fractions, multiply the numerators together and the denominators together:
= (-4 * 2) / (7 * 5) * (- 5/16)
= -8 / 35 * (-5/16)
Step 3: Finally, let's simplify the multiplication (-8 / 35) * (-5/16) by multiplying the numerators and the denominators together:
= (-8 * -5) / (35 * 16)
= 40 / 560
= 1/14
Therefore, (- 3) / (3/4) * (2/7)(- 5/16) / (5/7) simplifies to 1/14.
To solve the given expression, we follow the rules for multiplying and dividing fractions and apply the properties of operations. Here's how we can do it step by step:
Step 1: Simplify the expression inside the parentheses.
(-3) / (3/4) * (2/7) * (-5/16) / (5/7)
Step 2: Multiply the numerators to get the new numerator.
(-3) * (2) * (-5) = 30
Step 3: Multiply the denominators to get the new denominator.
(3/4) * (7) * (16) * (7) = 2352
Step 4: Simplify the resulting fraction.
(-3) / (3/4) * (2/7) * (-5/16) / (5/7) = 30/2352
Now, the expression is simplified to 30/2352. If necessary, you can further simplify this fraction by finding the greatest common divisor (GCD) and dividing both the numerator and the denominator by it.
To solve the given expression, we will follow the order of operations (PEMDAS) and simplify step by step:
(8/9)(-3/4) / (1/9) * (-4/5) / (3/5)
First, let's simplify the multiplication:
(8/9)(-3/4) = (8 * -3) / (9 * 4) = -24 / 36
Next, we'll simplify the division:
-24 / 36 / (1/9) = -24 / 36 * (9/1) = -24 * 9 / 36
Now, we'll continue simplifying the multiplication:
-24 * 9 / 36 = -216 / 36
Finally, we'll simplify the division:
-216 / 36 * (-4/5) / (3/5) = -216 / 36 * (-4/5) * (5/3) = -216 * -4 / 36 * 5 / 3
Now, let's multiply the numerators and denominators:
-216 * -4 = 864
36 * 5 = 180
3 * 3 = 9
Therefore, the simplified expression is:
864 / 180 / 9 = 48 / 9 = 16/3
Thus, the result is 16/3.