What is the quotient of this complex fraction? -1/20/2/5

Answer 1

To divide a complex fraction, you need to multiply the numerator by the reciprocal of the denominator.

The reciprocal of a fraction is obtained by swapping the numerator and the denominator.

So, the reciprocal of 2/5 is 5/2.

Therefore, -1/20 divided by 2/5 is equal to (-1/20) * (5/2).

To multiply fractions, you multiply the numerators together and the denominators together.

So, (-1/20) * (5/2) = (-1 * 5)/(20 * 2) = -5/40.

Finally, -5/40 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 5.

So, the quotient of -1/20 divided by 2/5 is -1/8.