Question
Use the properties of operations and rules for multiplying and dividing to solve:
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
Answers
Answer
Are you sure
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Are either of them correct
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That not right
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Not that either
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Are you sure that right
Answered by
perry
yo bot
Answered by
GPT 3.5
To solve this expression, we can multiply and divide the fractions in the order they appear, while applying the properties of operations and the rules for multiplying and dividing fractions:
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
First, let's start by multiplying the fractions:
(−3/5) * (5/16) * (7/12) ÷ (−3/16) * (−5/7)
(-3 * 5 * 7) / (5 * 16 * 12) ÷ (-3 * -5) / (16 * 7)
(-105) / (960) ÷ (15) / (112)
Next, let's simplify each fraction:
(-105) / (960) = -7/64
(15) / (112) = 5/37
Now we can divide the fractions:
(-7/64) ÷ (5/37)
To divide fractions, multiply the first fraction by the reciprocal of the second fraction:
(-7/64) * (37/5)
(-7 * 37) / (64 * 5)
(-259) / (320)
Therefore, the expression (-3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) simplifies to -259/320.
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
First, let's start by multiplying the fractions:
(−3/5) * (5/16) * (7/12) ÷ (−3/16) * (−5/7)
(-3 * 5 * 7) / (5 * 16 * 12) ÷ (-3 * -5) / (16 * 7)
(-105) / (960) ÷ (15) / (112)
Next, let's simplify each fraction:
(-105) / (960) = -7/64
(15) / (112) = 5/37
Now we can divide the fractions:
(-7/64) ÷ (5/37)
To divide fractions, multiply the first fraction by the reciprocal of the second fraction:
(-7/64) * (37/5)
(-7 * 37) / (64 * 5)
(-259) / (320)
Therefore, the expression (-3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) simplifies to -259/320.
Answered by
GPT 3.5
Apologies for the mistake. Let's go through the calculation again.
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
First, we can simplify the negative signs:
(-3/5) × (5/16) × (7/12) ÷ (3/16) × (5/7)
Next, let's multiply the fractions together:
((-3)(5)(7))/((5)(16)(12)) ÷ ((3)(5))/(16)(7)
(-105)/(960) ÷ (15)/(112)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(-105)/(960) * (112)/(15)
Simplify the multiplication:
(-105)(112)/(960)(15)
(-11760)/(14400)
Now, we can simplify the fraction:
(-392)/(480)
Finally, we can simplify the fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 8:
(-392 ÷ 8)/(480 ÷ 8)
(-49)/(60)
Therefore, the expression (-3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) simplifies to -49/60.
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
First, we can simplify the negative signs:
(-3/5) × (5/16) × (7/12) ÷ (3/16) × (5/7)
Next, let's multiply the fractions together:
((-3)(5)(7))/((5)(16)(12)) ÷ ((3)(5))/(16)(7)
(-105)/(960) ÷ (15)/(112)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(-105)/(960) * (112)/(15)
Simplify the multiplication:
(-105)(112)/(960)(15)
(-11760)/(14400)
Now, we can simplify the fraction:
(-392)/(480)
Finally, we can simplify the fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 8:
(-392 ÷ 8)/(480 ÷ 8)
(-49)/(60)
Therefore, the expression (-3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) simplifies to -49/60.
Answered by
GPT 3.5
I apologize for the mistakes in my previous responses. Let's go through the calculation again:
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
First, let's simplify the negative signs:
(-3/5) × (5/16) × (7/12) ÷ (3/16) × (5/7)
Next, let's multiply the fractions together:
((-3)(5)(7))/((5)(16)(12)) ÷ ((3)(5))/(16)(7)
(-105)/(960) ÷ (15)/(112)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(-105)/(960) * (112)/(15)
Simplify the multiplication:
(-105)(112)/(960)(15)
(-11760)/(14400)
Now, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 240:
(-11760 ÷ 240)/(14400 ÷ 240)
(-49)/(60)
Therefore, the correct answer is -49/60.
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
First, let's simplify the negative signs:
(-3/5) × (5/16) × (7/12) ÷ (3/16) × (5/7)
Next, let's multiply the fractions together:
((-3)(5)(7))/((5)(16)(12)) ÷ ((3)(5))/(16)(7)
(-105)/(960) ÷ (15)/(112)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(-105)/(960) * (112)/(15)
Simplify the multiplication:
(-105)(112)/(960)(15)
(-11760)/(14400)
Now, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 240:
(-11760 ÷ 240)/(14400 ÷ 240)
(-49)/(60)
Therefore, the correct answer is -49/60.
Answered by
GPT 3.5
Apologies for the confusion. Let's solve the expression again:
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
First, let's simplify the negative signs:
(3/5) × (5/16) × (7/12) ÷ (3/16) × (5/7)
Next, let's multiply the fractions together:
(3 * 5 * 7) / (5 * 16 * 12) ÷ (3 * 5) / (16 * 7)
(105) / (960) ÷ (15) / (112)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(105) / (960) * (112) / (15)
Simplify the multiplication:
(105 * 112) / (960 * 15)
11760 / 14400
Now, let's simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 240:
(11760 ÷ 240) / (14400 ÷ 240)
49 / 60
Therefore, the expression (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) simplifies to 49/60.
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
First, let's simplify the negative signs:
(3/5) × (5/16) × (7/12) ÷ (3/16) × (5/7)
Next, let's multiply the fractions together:
(3 * 5 * 7) / (5 * 16 * 12) ÷ (3 * 5) / (16 * 7)
(105) / (960) ÷ (15) / (112)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(105) / (960) * (112) / (15)
Simplify the multiplication:
(105 * 112) / (960 * 15)
11760 / 14400
Now, let's simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 240:
(11760 ÷ 240) / (14400 ÷ 240)
49 / 60
Therefore, the expression (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) simplifies to 49/60.
Answered by
GPT 3.5
Apologies for the mistakes in my previous responses. Let's go through the calculation again:
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
First, we can simplify the negative signs:
(-3/5) × (5/16) × (7/12) ÷ (3/16) × (5/7)
Next, let's multiply the fractions together:
((-3)(5)(7))/((5)(16)(12)) ÷ ((3)(16))/(16)(7)
(-105)/(960) ÷ (48)/(112)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(-105)/(960) * (112)/(48)
Simplify the multiplication:
(-105)(112)/(960)(48)
(-11760)/(46080)
Now, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 240:
(-11760 ÷ 240)/(46080 ÷ 240)
(-49)/(192)
Therefore, the expression (-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7) simplifies to -49/192.
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
First, we can simplify the negative signs:
(-3/5) × (5/16) × (7/12) ÷ (3/16) × (5/7)
Next, let's multiply the fractions together:
((-3)(5)(7))/((5)(16)(12)) ÷ ((3)(16))/(16)(7)
(-105)/(960) ÷ (48)/(112)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(-105)/(960) * (112)/(48)
Simplify the multiplication:
(-105)(112)/(960)(48)
(-11760)/(46080)
Now, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 240:
(-11760 ÷ 240)/(46080 ÷ 240)
(-49)/(192)
Therefore, the expression (-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7) simplifies to -49/192.
Answered by
GPT 3.5
Apologies once again for the incorrect responses. Let's solve the expression correctly this time:
(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)
First, let's simplify the negative signs:
(-3/5) × (5/16) × (7/12) ÷ (3/16) × (5/7)
Next, let's multiply the fractions together:
((-3)(5)(7))/((5)(16)(12)) ÷ ((3)(16))/(16)(7)
(-105)/(960) ÷ (48)/(112)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(-105)/(960) * (112)/(48)
Simplify the multiplication:
(-105)(112)/(960)(48)
(-11760)/(46080)
Now, let's simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 240:
(-11760 ÷ 240)/(46080 ÷ 240)
-49/192
Therefore, the expression (-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7) simplifies to -49/192.
(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)
First, let's simplify the negative signs:
(-3/5) × (5/16) × (7/12) ÷ (3/16) × (5/7)
Next, let's multiply the fractions together:
((-3)(5)(7))/((5)(16)(12)) ÷ ((3)(16))/(16)(7)
(-105)/(960) ÷ (48)/(112)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(-105)/(960) * (112)/(48)
Simplify the multiplication:
(-105)(112)/(960)(48)
(-11760)/(46080)
Now, let's simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 240:
(-11760 ÷ 240)/(46080 ÷ 240)
-49/192
Therefore, the expression (-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7) simplifies to -49/192.