-3/5 : (-1 1/10)

Let's solve the expression: $$-\frac{3}{5} : \left(-1\frac{1}{10}\right)$$ First, convert the mixed number to an improper fraction: $$1\frac{1}{10} = \frac{1 \times 10 + 1}{10} = \frac{11}{10}$$ Now, we have: $$-\frac{3}{5} : \left(-\frac{11}{10}\right)$$ To divide by a fraction, multiply by its reciprocal: $$-\frac{3}{5} \times \left(-\frac{10}{11}\right)$$ Since we are multiplying two negative numbers, the result will be positive: $$\frac{3}{5} \times \frac{10}{11} = \frac{3 \times 10}{5 \times 11} = \frac{3 \times (5 \times 2)}{5 \times 11} = \frac{3 \times 2}{11} = \frac{6}{11}$$ Answer: 6/11