What is the quotient of −5/9÷1/5? Write the answer as a mixed number. Show your work.

Answer 1

To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of 1/5 is 5/1.

So, -5/9 ÷ 1/5 can be written as -5/9 * 5/1.

Multiplying the numerators and denominators, we get (-5 * 5) / (9 * 1) = -25/9.

To write this answer as a mixed number, we divide the numerator (-25) by the denominator (9). The quotient is -2 with a remainder of -7.

Therefore, the mixed number form of -25/9 is -2 -7/9.