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

1 answer

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

To convert the mixed number -2 3/4 into an improper fraction, we can multiply the whole number (2) by the denominator (4) and add the numerator (3). So, we have:

-2 3/4 = (-2 x 4 + 3)/4 = (-8 + 3)/4 = -5/4

Now, we can divide -5/4 by 4/5. When dividing fractions, we can multiply the first fraction by the reciprocal of the second fraction. So:

(-5/4) รท (4/5) = (-5/4) x (5/4)

Multiplying the numerators and denominators, we get:

(-5/4) x (5/4) = -25/16

Therefore, the quotient is -25/16.