what is the quotient of -5/9÷1/5

To divide fractions, you need to invert the divisor (the second fraction) and then multiply.

So, the quotient of -5/9 ÷ 1/5 can be found by multiplying -5/9 by the reciprocal of 1/5, which is 5/1:
(-5/9) * (5/1) = -25/9

Therefore, the quotient of -5/9 ÷ 1/5 is -25/9.

To find the quotient of fractions, you need to multiply the dividend (numerator) by the reciprocal of the divisor (denominator).

Let's find the reciprocal of 1/5:
Reciprocal of 1/5 = 5/1

Now, multiply -5/9 by 5/1:
(-5/9) * (5/1) = (-5 * 5) / (9 * 1) = -25/9

Therefore, the quotient of -5/9 ÷ 1/5 is -25/9.