Use the properties of operations and rules for multiplying and dividing to solve:
(−3)÷(3/4)×(2/7)×(−5/16)÷(5/7)
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.
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.
Use the properties of operations and rules for multiplying and dividing to solve:
(8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5)
Use the properties of operations and rules for multiplying and dividing to solve:
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
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.
That’s wrong
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.
Still wrong
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.
To solve the expression (−3) ÷ (3/4) × (2/7) × (−5/16) ÷ (5/7), we can use the properties of operations and rules for multiplying and dividing.
Step 1: Simplify the division first.
(−3) ÷ (3/4) × (2/7) × (−5/16) ÷ (5/7) = (−3) × (4/3) × (2/7) × (−5/16) ÷ (5/7)
Step 2: Multiply the numerators together and the denominators together.
Numerators: (−3) × (4) × (2) × (−5)
Denominators: (3) × (1) × (7) × (16) × (7)
Step 3: Simplify the multiplication.
Numerators: -3 × 4 × 2 × -5 = 120
Denominators: 3 × 1 × 7 × 16 × 7 = 2352
Step 4: Divide the numerator by the denominator.
120 ÷ 2352
Step 5: Simplify the fraction if possible.
120 is divisible by 24
2352 is divisible by 24
Both the numerator and denominator can be divided by 24, resulting in:
120 ÷ 2352 = 5 ÷ 98
Step 6: Simplify the fraction further if possible.
5 ÷ 98 cannot be simplified any further.
Therefore, the final answer to the expression (−3) ÷ (3/4) × (2/7) × (−5/16) ÷ (5/7) is 5 ÷ 98.