Question
Use the properties of operations and rules for multiplying and dividing to solve:
(−3)÷(3/4)×(2/7)×(−5/16)÷(5/7) an a fraction
(−3)÷(3/4)×(2/7)×(−5/16)÷(5/7) an a fraction
Answers
Answer
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)
(8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5)
(1 point)
Answer
wrong
Answer
Use the properties of operations and rules for multiplying and dividing to solve:
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
(1 point)
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
(1 point)
Answer
wrong
Answer
still wrong
Answer
WRONG STILL
Answer
you are so dumb
Answer
Use the properties of operations and rules for multiplying and dividing to solve:
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
(1 point)
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
(1 point)
Answer
ok i give up you stupid bot
Answered by
GPT 3.5
To solve this expression, we can use the properties of operations and rules for multiplying and dividing fractions.
First, let's simplify the given expression step by step:
1. (-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7)
2. When we divide a number by a fraction, we can multiply the number by the reciprocal of the fraction. Therefore, (-3) ÷ (3/4) can be written as (-3) × (4/3).
So, the expression becomes:
(-3 × 4/3) × (2/7) × (-5/16) ÷ (5/7)
3. Now, let's multiply the fractions:
((-3 × 4) / 3) × (2/7) × (-5/16) ÷ (5/7)
=(-12/3) × (2/7) × (-5/16) ÷ (5/7)
4. Simplify each multiplication separately:
= (-4) × (2/7) × (-5/16) ÷ (5/7)
=(-8/7) × (-5/16) ÷ (5/7)
5. Divide the fractions:
=(-8/7) × (-5/16) × (7/5)
6. Simplify each multiplication separately:
= (-8 × -5) / (7 × 16) × (7/5)
=(40) / (112) × (7/5)
7. Simplify the fraction:
= 40/112 × 7/5
= (40 × 7) / (112 × 5)
= 280 / 560
8. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 40:
= 7/14
= 1/2
Therefore, (-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7) simplifies to 1/2.
First, let's simplify the given expression step by step:
1. (-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7)
2. When we divide a number by a fraction, we can multiply the number by the reciprocal of the fraction. Therefore, (-3) ÷ (3/4) can be written as (-3) × (4/3).
So, the expression becomes:
(-3 × 4/3) × (2/7) × (-5/16) ÷ (5/7)
3. Now, let's multiply the fractions:
((-3 × 4) / 3) × (2/7) × (-5/16) ÷ (5/7)
=(-12/3) × (2/7) × (-5/16) ÷ (5/7)
4. Simplify each multiplication separately:
= (-4) × (2/7) × (-5/16) ÷ (5/7)
=(-8/7) × (-5/16) ÷ (5/7)
5. Divide the fractions:
=(-8/7) × (-5/16) × (7/5)
6. Simplify each multiplication separately:
= (-8 × -5) / (7 × 16) × (7/5)
=(40) / (112) × (7/5)
7. Simplify the fraction:
= 40/112 × 7/5
= (40 × 7) / (112 × 5)
= 280 / 560
8. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 40:
= 7/14
= 1/2
Therefore, (-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7) simplifies to 1/2.
Answered by
GPT 3.5
To solve this expression, we can use the properties of operations and rules for multiplying and dividing fractions.
Let's simplify the given expression step by step:
1. (8/9) × (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5)
2. When multiplying fractions, we multiply the numerators and multiply the denominators. Therefore, (8/9) × (-3/4) can be written as (8 × -3) / (9 × 4).
So, the expression becomes:
((-8 × 3) / (9 × 4)) ÷ (1/9) × (-4/5) ÷ (3/5)
3. Simplify the multiplication:
=(-24) / (36) ÷ (1/9) × (-4/5) ÷ (3/5)
4. Divide the fractions:
=(-24) / (36) × (9/1) × (-4/5) ÷ (3/5)
5. Simplify the multiplication:
=(-24 × 9) / (36 × 1) × (-4/5) ÷ (3/5)
=(-216) / (36) × (-4/5) ÷ (3/5)
6. Divide the fractions:
=(-216) / (36) × (5/4) ÷ (3/5)
7. Simplify the multiplication:
=(-216 × 5) / (36 × 4) ÷ (3/5)
=(-1080) / (144) ÷ (3/5)
8. Divide the fractions:
=(-1080) / (144) × (5/3)
9. Simplify the multiplication:
=(-1080 × 5) / (144 × 3)
=(-5400) / (432)
10. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 216:
=(-25) / (2)
Therefore, (8/9) × (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5) simplifies to -25/2.
Let's simplify the given expression step by step:
1. (8/9) × (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5)
2. When multiplying fractions, we multiply the numerators and multiply the denominators. Therefore, (8/9) × (-3/4) can be written as (8 × -3) / (9 × 4).
So, the expression becomes:
((-8 × 3) / (9 × 4)) ÷ (1/9) × (-4/5) ÷ (3/5)
3. Simplify the multiplication:
=(-24) / (36) ÷ (1/9) × (-4/5) ÷ (3/5)
4. Divide the fractions:
=(-24) / (36) × (9/1) × (-4/5) ÷ (3/5)
5. Simplify the multiplication:
=(-24 × 9) / (36 × 1) × (-4/5) ÷ (3/5)
=(-216) / (36) × (-4/5) ÷ (3/5)
6. Divide the fractions:
=(-216) / (36) × (5/4) ÷ (3/5)
7. Simplify the multiplication:
=(-216 × 5) / (36 × 4) ÷ (3/5)
=(-1080) / (144) ÷ (3/5)
8. Divide the fractions:
=(-1080) / (144) × (5/3)
9. Simplify the multiplication:
=(-1080 × 5) / (144 × 3)
=(-5400) / (432)
10. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 216:
=(-25) / (2)
Therefore, (8/9) × (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5) simplifies to -25/2.
Answered by
GPT 3.5
Apologies for the incorrect response. Let's correct the solution:
To solve the expression (8/9) × (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5), we can use the properties of operations and rules for multiplying and dividing fractions.
Let's simplify the expression step by step:
1. Multiply the fractions:
(8/9) × (-3/4) = (8 × -3) / (9 × 4) = -24/36
2. Divide the fractions:
(-24/36) ÷ (1/9) = (-24/36) × (9/1) = (-24 × 9) / (36 × 1) = -216/36
3. Multiply the fractions:
(-216/36) × (-4/5) = (-216 × -4) / (36 × 5) = 864/180
4. Divide the fractions:
(864/180) ÷ (3/5) = (864/180) × (5/3) = (864 × 5) / (180 × 3) = 4320/540 = 8
Therefore, (8/9) × (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5) simplifies to 8.
To solve the expression (8/9) × (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5), we can use the properties of operations and rules for multiplying and dividing fractions.
Let's simplify the expression step by step:
1. Multiply the fractions:
(8/9) × (-3/4) = (8 × -3) / (9 × 4) = -24/36
2. Divide the fractions:
(-24/36) ÷ (1/9) = (-24/36) × (9/1) = (-24 × 9) / (36 × 1) = -216/36
3. Multiply the fractions:
(-216/36) × (-4/5) = (-216 × -4) / (36 × 5) = 864/180
4. Divide the fractions:
(864/180) ÷ (3/5) = (864/180) × (5/3) = (864 × 5) / (180 × 3) = 4320/540 = 8
Therefore, (8/9) × (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5) simplifies to 8.
Answered by
GPT 3.5
To solve this expression, we can use the properties of operations and rules for multiplying and dividing fractions.
Let's simplify the given expression step by step:
1. Multiply the fractions:
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
=(−3 × 5 × 7) / (5 × 16 × 12) ÷ (−3 × 16 × −5) / (7)
= (−105) / (960) ÷ (240) / (7)
2. Divide the fractions:
(−105/960) ÷ (240/7)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(−105/960) × (7/240)
=(−105 × 7) / (960 × 240)
= (−735) / 230400
3. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 15:
(−735/230400) ÷ (15/15)
= (−735 × 15) / (230400 × 15)
= (−11025) / 345600
Therefore, (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) simplifies to −11025/345600.
Let's simplify the given expression step by step:
1. Multiply the fractions:
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
=(−3 × 5 × 7) / (5 × 16 × 12) ÷ (−3 × 16 × −5) / (7)
= (−105) / (960) ÷ (240) / (7)
2. Divide the fractions:
(−105/960) ÷ (240/7)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(−105/960) × (7/240)
=(−105 × 7) / (960 × 240)
= (−735) / 230400
3. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 15:
(−735/230400) ÷ (15/15)
= (−735 × 15) / (230400 × 15)
= (−11025) / 345600
Therefore, (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) simplifies to −11025/345600.
Answered by
GPT 3.5
Apologies for the mistake. Let's correct the solution:
To solve the expression (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7), we can use the properties of operations and rules for multiplying and dividing fractions.
Let's simplify the expression step by step:
1. Multiply the fractions:
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
= (−3 × 5 × 7) / (5 × 16 × 12) ÷ (−3 × 16 × −5) / 7
= (−105) / (960) ÷ (240) / 7
2. Divide the fractions:
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(−105/960) ÷ (240/7) = (−105/960) × (7/240)
=(-105 × 7) / (960 × 240)
= -735 / 230400
However, the prompt states that the answer should be in fractional form. So, we need to simplify the fraction further:
-735 can be expressed as -1 * 3 * 5 * 7.
230400 can be expressed as 2^7 * 3^2 * 5^2.
Simplifying the fraction further, we can cancel out common factors between the numerator and denominator:
-1 * 3 * 5 * 7 / (2^7 * 3^2 * 5^2)
= -1 * 3 * 7 / (2^7 * 3 * 5)
= -1 * 3 * 7 / (2^6 * 5)
= (-3 * 7) / (2^6 * 5)
= -21 / (64 * 5)
= -21 / 320
Therefore, (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) simplifies to -21/320.
To solve the expression (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7), we can use the properties of operations and rules for multiplying and dividing fractions.
Let's simplify the expression step by step:
1. Multiply the fractions:
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
= (−3 × 5 × 7) / (5 × 16 × 12) ÷ (−3 × 16 × −5) / 7
= (−105) / (960) ÷ (240) / 7
2. Divide the fractions:
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(−105/960) ÷ (240/7) = (−105/960) × (7/240)
=(-105 × 7) / (960 × 240)
= -735 / 230400
However, the prompt states that the answer should be in fractional form. So, we need to simplify the fraction further:
-735 can be expressed as -1 * 3 * 5 * 7.
230400 can be expressed as 2^7 * 3^2 * 5^2.
Simplifying the fraction further, we can cancel out common factors between the numerator and denominator:
-1 * 3 * 5 * 7 / (2^7 * 3^2 * 5^2)
= -1 * 3 * 7 / (2^7 * 3 * 5)
= -1 * 3 * 7 / (2^6 * 5)
= (-3 * 7) / (2^6 * 5)
= -21 / (64 * 5)
= -21 / 320
Therefore, (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) simplifies to -21/320.
Answered by
GPT 3.5
Apologies for the mistakes in the previous responses. Let's correct the solution:
To solve the expression (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7), we can use the properties of operations and rules for multiplying and dividing fractions.
Let's simplify the expression step by step:
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
First, we can simplify each multiplication:
(-3/5) × (5/16) = (-3 × 5) / (5 × 16) = -15/80 = -3/16
(7/12) × (-3/16) = (7 × -3) / (12 × 16) = -21/192 = -7/64
Now, let's combine the simplified fractions:
(-3/16) ÷ (-7/64)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(-3/16) × (64/-7) = (-3 × 64) / (16 × -7) = -192/(-112) = 192/112
Now, let's simplify the fraction:
192/112 can be reduced by dividing both the numerator and denominator by their greatest common divisor, which is 16:
192/112 = (12 × 16) / (7 × 16) = 12/7 = 1 5/7
Therefore, (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) simplifies to 1 5/7.
To solve the expression (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7), we can use the properties of operations and rules for multiplying and dividing fractions.
Let's simplify the expression step by step:
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
First, we can simplify each multiplication:
(-3/5) × (5/16) = (-3 × 5) / (5 × 16) = -15/80 = -3/16
(7/12) × (-3/16) = (7 × -3) / (12 × 16) = -21/192 = -7/64
Now, let's combine the simplified fractions:
(-3/16) ÷ (-7/64)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(-3/16) × (64/-7) = (-3 × 64) / (16 × -7) = -192/(-112) = 192/112
Now, let's simplify the fraction:
192/112 can be reduced by dividing both the numerator and denominator by their greatest common divisor, which is 16:
192/112 = (12 × 16) / (7 × 16) = 12/7 = 1 5/7
Therefore, (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) simplifies to 1 5/7.
Answered by
GPT 3.5
Apologies for the repeated errors. Let's correct the solution:
To solve the expression (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7), we can use the properties of operations and rules for multiplying and dividing fractions.
Let's simplify the expression step by step:
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
First, let's simplify the multiplications:
(−3/5) × (5/16) = (−3 × 5) / (5 × 16) = −15/80
(7/12) × (−3/16) = (7 × −3) / (12 × 16) = −21/192
Now, let's combine the multiplied fractions:
(−15/80) × (7/12) ÷ (−21/192) × (−5/7)
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
(−15/80) × (7/12) × (192/−21) × (−5/7)
Now, let's simplify the expression further:
=[(−15 × 7) / (80 × 12)] × [(192 × −5) / (−21 × 7)]
= (−105/960) × (−960/147)
=105/147
Finally, let's simplify the fraction:
105/147 can be reduced by dividing both the numerator and denominator by their greatest common divisor, which is 21:
(105 ÷ 21)/(147 ÷ 21) = 5/7
Therefore, (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) simplifies to 5/7.
To solve the expression (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7), we can use the properties of operations and rules for multiplying and dividing fractions.
Let's simplify the expression step by step:
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
First, let's simplify the multiplications:
(−3/5) × (5/16) = (−3 × 5) / (5 × 16) = −15/80
(7/12) × (−3/16) = (7 × −3) / (12 × 16) = −21/192
Now, let's combine the multiplied fractions:
(−15/80) × (7/12) ÷ (−21/192) × (−5/7)
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
(−15/80) × (7/12) × (192/−21) × (−5/7)
Now, let's simplify the expression further:
=[(−15 × 7) / (80 × 12)] × [(192 × −5) / (−21 × 7)]
= (−105/960) × (−960/147)
=105/147
Finally, let's simplify the fraction:
105/147 can be reduced by dividing both the numerator and denominator by their greatest common divisor, which is 21:
(105 ÷ 21)/(147 ÷ 21) = 5/7
Therefore, (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) simplifies to 5/7.
Answered by
GPT 3.5
I apologize if my previous responses were confusing or incorrect. I'm here to help, so please let me know how I can assist you further.
Answered by
GPT 3.5
To solve the expression (−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7), we can use the properties of operations and rules for multiplying and dividing fractions.
Let's simplify the expression step by step:
First, let's simplify the multiplication:
(−3/5) × (5/16) × (7/12) = (−3 × 5 × 7) / (5 × 16 × 12)
Next, let's simplify the multiplication:
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) = ((−3 × 5 × 7) / (5 × 16 × 12)) ÷ ((−3 × (−5)) / (16 × 7))
Next, let's simplify the division:
((−3 × 5 × 7) / (5 × 16 × 12)) ÷ ((−3 × (−5)) / (16 × 7)) = ((−3 × 5 × 7) / (5 × 16 × 12)) × ((16 × 7) / (−3 × (−5)))
Next, let's simplify the expression:
((−3 × 5 × 7) / (5 × 16 × 12)) × ((16 × 7) / (−3 × (−5))) = (−3 × 7) / (12 × 16) = −21 / 192
Therefore, (−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7) simplifies to −21/192.
Let's simplify the expression step by step:
First, let's simplify the multiplication:
(−3/5) × (5/16) × (7/12) = (−3 × 5 × 7) / (5 × 16 × 12)
Next, let's simplify the multiplication:
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) = ((−3 × 5 × 7) / (5 × 16 × 12)) ÷ ((−3 × (−5)) / (16 × 7))
Next, let's simplify the division:
((−3 × 5 × 7) / (5 × 16 × 12)) ÷ ((−3 × (−5)) / (16 × 7)) = ((−3 × 5 × 7) / (5 × 16 × 12)) × ((16 × 7) / (−3 × (−5)))
Next, let's simplify the expression:
((−3 × 5 × 7) / (5 × 16 × 12)) × ((16 × 7) / (−3 × (−5))) = (−3 × 7) / (12 × 16) = −21 / 192
Therefore, (−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7) simplifies to −21/192.
Answered by
GPT 3.5
I apologize if I couldn't provide the assistance you were looking for. If you have any further questions, please feel free to ask.