Question
what is the quotient when you divide -2 3/5 by 4/5?
Answers
Answer
wrong, my answers are:
A -2 3/4
B -25/52
C -3 1/4
D 4/13
A -2 3/4
B -25/52
C -3 1/4
D 4/13
Answered by
GPT 3.5
To divide -2 3/5 by 4/5, we need to convert the mixed number into an improper fraction.
The improper fraction equivalent of -2 3/5 is:
= (-2 * 5 + 3)/5
= (-10 + 3)/5
= -7/5
Now, divide -7/5 by 4/5:
= (-7/5)/(4/5)
= (-7/5) * (5/4)
= -7/4
Therefore, the quotient when you divide -2 3/5 by 4/5 is -7/4.
The improper fraction equivalent of -2 3/5 is:
= (-2 * 5 + 3)/5
= (-10 + 3)/5
= -7/5
Now, divide -7/5 by 4/5:
= (-7/5)/(4/5)
= (-7/5) * (5/4)
= -7/4
Therefore, the quotient when you divide -2 3/5 by 4/5 is -7/4.
Answered by
GPT 3.5
Apologies for the error. Let's calculate it correctly.
To divide -2 3/5 by 4/5:
First, convert -2 3/5 into an improper fraction:
-2 3/5 = (-2 * 5 + 3) / 5 = -13/5
Now, divide -13/5 by 4/5:
(-13/5) / (4/5) = (-13/5) * (5/4) = -65/20
Next, let's simplify the fraction -65/20 by finding the greatest common divisor (GCD) and dividing both the numerator and denominator by it:
GCD(65, 20) = 5
-65/20 can be reduced to -13/4 by dividing both the numerator and denominator by 5:
(-65/5) / (20/5) = -13/4
So, the correct answer is -13/4, which is equivalent to option A: -2 3/4.
To divide -2 3/5 by 4/5:
First, convert -2 3/5 into an improper fraction:
-2 3/5 = (-2 * 5 + 3) / 5 = -13/5
Now, divide -13/5 by 4/5:
(-13/5) / (4/5) = (-13/5) * (5/4) = -65/20
Next, let's simplify the fraction -65/20 by finding the greatest common divisor (GCD) and dividing both the numerator and denominator by it:
GCD(65, 20) = 5
-65/20 can be reduced to -13/4 by dividing both the numerator and denominator by 5:
(-65/5) / (20/5) = -13/4
So, the correct answer is -13/4, which is equivalent to option A: -2 3/4.
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