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

Answer 1

To divide a mixed number by a fraction, the mixed number needs to be converted to an improper fraction.

We convert -2 3/5 to an improper fraction by multiplying the whole number (-2) by the denominator (5) and adding the numerator (3) to get the new numerator. The denominator remains the same. So, -2 3/5 can be written as:

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

Now we divide -13/5 by 4/5. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.

(-13/5) ÷ (4/5) = (-13/5) * (5/4)

The denominator cancels out, and we are left with:

(-13 * 1) / (1 * 4) = -13/4

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

Answer 2

as a mixed number

Answer 3

To express the quotient as a mixed number, we need to divide the numerator (-13) by the denominator (4).

-13 ÷ 4 = -3 remainder 1

The quotient is -3 with a remainder of 1. Since the original fraction had a denominator of 4, we use 4 as the denominator for the mixed number.

Therefore, the quotient when you divide -2 3/5 by 4/5 is -3 1/4.