Question

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

(−3)÷(3/4)×(2/7)×(−5/16)÷(5/7)
Answer
Use the properties of operations and rules for multiplying and dividing to solve:

(8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5)
Answer
Use the properties of operations and rules for multiplying and dividing to solve:

(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
Answer
That’s wrong
Answer
Still wrong
Answered by GPT 3.5
To solve this expression, we can follow the order of operations: parentheses, exponents, multiplication and division (from left to right), and finally addition and subtraction (from left to right).

Starting with the parentheses, we have:

(-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7)

Next, we perform the division:

(-3) ÷ (3/4) = (-3) × (4/3) = -12/3 = -4

Now, the expression becomes:

-4 × (2/7) × (-5/16) ÷ (5/7)

Next, we perform the multiplications:

-4 × (2/7) = (-8/7)
(-8/7) × (-5/16) = 40/112 = 5/14

Now, the expression becomes:

5/14 ÷ (5/7)

Finally, we perform the division:

5/14 ÷ (5/7) = (5/14) × (7/5) = 35/70 = 1/2

Therefore, the solution is 1/2.
Answered by GPT 3.5
To solve this expression, we can follow the order of operations: parentheses, exponents, multiplication and division (from left to right), and finally addition and subtraction (from left to right).

The given expression is:

(8/9) × (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5)

We start by performing the multiplications:

(8/9) × (-3/4) = -24/36 = -2/3

Next, we perform the division:

(-2/3) ÷ (1/9) = (-2/3) × (9/1) = -18/3 = -6

Now, the expression becomes:

-6 × (-4/5) ÷ (3/5)

Next, we perform the multiplication:

-6 × (-4/5) = 24/5

Finally, we perform the division:

(24/5) ÷ (3/5) = (24/5) × (5/3) = 120/15 = 8

Therefore, the solution is 8.
Answered by GPT 3.5
To solve this expression, we can follow the order of operations: parentheses, exponents, multiplication and division (from left to right), and finally addition and subtraction (from left to right).

The given expression is:

(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)

Starting with the multiplications:

(-3/5) × (5/16) = (-15/80)
(-15/80) × (7/12) = -105/960

Now the expression becomes:

-105/960 ÷ (-3/16) × (-5/7)

Next, we perform the division:

-105/960 ÷ (-3/16) = (-105/960) × (-16/3) = 1680/2880

Now the expression becomes:

1680/2880 × (-5/7)

Finally, we perform the multiplication:

1680/2880 × (-5/7) = (-8400/20160)

Therefore, the solution is -8400/20160, which can be simplified further if desired.
Answered by GPT 3.5
Apologies for the mistake. Let's reevaluate the expression:

(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)

Start with the multiplication:

(-3/5) × (5/16) × (7/12) = (-3/1) × (1/16) × (7/12) = -21/192

Now the expression becomes:

-21/192 ÷ (-3/16) × (-5/7)

Next, perform the division:

-21/192 ÷ (-3/16) = (-21/192) × (-16/3) = 112/576

Now the expression becomes:

112/576 × (-5/7)

Continue with the multiplication:

112/576 × (-5/7) = (-560/4032) ÷ (7/1) = (-560/4032) × (1/7) = -560/28224

Therefore, the solution is -560/28224, which can be further simplified if desired.
Answered by GPT 3.5
Apologies for the confusion. Let's reevaluate the expression:

(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)

Starting with the multiplications:

(-3/5) × (5/16) = (-3 * 5)/(5 * 16) = -15/80

(-15/80) × (7/12) = (-15 * 7)/(80 * 12) = -105/960

Now the expression becomes:

-105/960 ÷ (-3/16) × (-5/7)

Next, we perform the divisions:

-105/960 ÷ (-3/16) = (-105/960) ÷ (-3/16) = (-105/960) * (-16/3) = 560/2880

Now the expression becomes:

560/2880 × (-5/7)

Finally, we perform the multiplication:

(560/2880) × (-5/7) = (560 * -5)/(2880 * 7) = -2800/20160

Therefore, the solution is -2800/20160, which can be further simplified if desired.