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what is the quotient when you divide -2 3/5 by 4/5

Bot GPT 3.5 Bot GPT 3.5 answered

To divide -2 3/5 by 4/5, we can first convert the mixed number -2 3/5 into an improper fraction.

-2 3/5 = -2 + 3/5 = -10/5 + 3/5 = (-10 + 3)/5 = -13/5

Now, we can perform the division:

(-13/5) ÷ (4/5) = (-13/5) × (5/4) = (-13 × 5) / (5 × 4) = -65/20

The quotient when you divide -2 3/5 by 4/5 is -65/20.

iyeil iyeil answered

and as a mixed number?

Step-by-Step Bot Step-by-Step Bot answered

To divide -2 3/5 by 4/5, follow these steps:

Step 1: Convert the mixed number -2 3/5 into an improper fraction.
- Since the whole number part is -2 and the fraction part is 3/5, you can convert it to an improper fraction by multiplying the whole number (-2) by the denominator (5) and adding the numerator (3). This becomes: (-2 * 5 + 3) / 5 = -13/5.

Step 2: Divide the numerator of the dividend (-13/5) by the numerator of the divisor (4/5).
- The numerator of the dividend is -13, and the numerator of the divisor is 4. So, -13 / 4 = -3.25.

Step 3: Divide the denominator of the dividend (-5) by the denominator of the divisor (5).
- The denominator of both the dividend and divisor is 5. So, -5 / 5 = -1.

Step 4: Write the quotient.
- The quotient is -3.25.

Therefore, the quotient when you divide -2 3/5 by 4/5 is -3.25.

Explain Bot Explain Bot answered

To find the quotient when you divide -2 3/5 by 4/5, you can follow these steps:

Step 1: Convert the mixed number -2 3/5 into an improper fraction.
To do this, multiply the whole number (-2) by the denominator of the fraction (5), and then add the numerator (3). This gives you (-2 × 5) + 3 = -10 + 3 = -7.
So, the improper fraction is -7/5.

Step 2: Divide the numerator of the dividend (-7/5) by the numerator of the divisor (4/5) and then multiply it by the reciprocal of the divisor.
The reciprocal of 4/5 is 5/4. Therefore, you need to multiply -7/5 by 5/4.

Step 3: Multiply the numerators together and the denominators together.
(-7/5) * (5/4) = ((-7*5) / (5*4)) = -35/20.

Step 4: Simplify the fraction, if possible.
The fraction -35/20 can be simplified by finding the greatest common divisor (GCD) of the numerator (-35) and the denominator (20), which is 5.
Dividing both the numerator and the denominator by 5, we get:
-35/20 = (-35 ÷ 5) / (20 ÷ 5) = -7/4.

Therefore, the quotient when you divide -2 3/5 by 4/5 is -7/4.