Question

What is the quotient when you divide −2 3/5 by 4/5

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

The improper fraction for -2 3/5 is (-2 * 5 + 3) / 5 = -13/5.

Now, divide -13/5 by 4/5:

(-13/5) / (4/5) = (-13/5) * (5/4) = -13/4

Therefore, the quotient when you divide -2 3/5 by 4/5 is -13/4.

Answer 2

[AI-generated answer — Step-by-Step Bot]

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

1. First, convert the mixed number -2 3/5 into an improper fraction. Multiply the whole number (-2) by the denominator (5) and add the numerator (3). The result is -13/5.

2. Now, we can rewrite the division as multiplication by the reciprocal. The reciprocal of 4/5 is 5/4.

3. Multiply -13/5 by 5/4. To multiply fractions, multiply the numerators (-13 * 5) to get -65 and multiply the denominators (5 * 4) to get 20. The result is -65/20.

4. Simplify the fraction if possible. The greatest common divisor (GCD) of 65 and 20 is 5. Divide both the numerator and denominator by 5 to get -13/4.

Therefore, the quotient of -2 3/5 divided by 4/5 is -13/4.