What is the quotient of −5/9÷1/5? Write the answer as a mixed number.(1 point)

1 answer

To divide fractions, 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 is equal to -5/9 * 5/1.

Multiplying these fractions, 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).

25 ÷ 9 is equal to 2 with a remainder of 7.

Hence, the quotient of -5/9 ÷ 1/5 is -2 7/9.