What is the quotient of -5/9 divided by 1/5? Writer the answer as a mixed number

1 answer

To divide -5/9 by 1/5, we multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of 1/5 is 5/1.

So,

-5/9 ÷ 1/5 = -5/9 × 5/1

Next, multiply the numerators and denominators:

-5 × 5 = -25
9 × 1 = 9

Therefore, the quotient is -25/9.

To write this as a mixed number, we divide the numerator by the denominator:

-25 ÷ 9 = -2 remainder 7

Hence, the mixed number is -2 7/9.