Use the properties of operations and rules for multiplying and dividing to solve:

(- 3) / (3/4) * (2/7)(- 5/16) / (5/7)

(1 point)

5 answers

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
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.
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 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.