-5/9÷1/5

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

So, -5/9 ÷ 1/5 becomes -5/9 * 5/1.

By cross multiplying, we get (-5*5)/(9*1) = -25/9.

Therefore, -5/9 ÷ 1/5 = -25/9.

To divide two fractions, we can use the following steps:

Step 1: Flip the second fraction (the divisor) upside down.
In this case, we have -5/9 ÷ 1/5. We need to flip 1/5 to become 5/1.

Step 2: Multiply the first fraction (the dividend) by the flipped second fraction (the reciprocal).
-5/9 × 5/1

Step 3: Simplify the resulting fraction, if possible.
(-5 × 5) / (9 × 1) = -25/9

Therefore, the division of -5/9 ÷ 1/5 is equal to -25/9.