-2 3/17 : (-3.7)

Let's solve the expression: $$-2\frac{3}{17} : (-3.7)$$ First, convert the mixed number to an improper fraction: $$-2\frac{3}{17} = -\frac{2 \times 17 + 3}{17} = -\frac{34 + 3}{17} = -\frac{37}{17}$$ Convert the decimal to a fraction: $$-3.7 = -\frac{37}{10}$$ Now, we have: $$-\frac{37}{17} : \left(-\frac{37}{10}\right)$$ To divide by a fraction, multiply by its reciprocal: $$-\frac{37}{17} \times \left(-\frac{10}{37}\right)$$ Since we are multiplying two negative numbers, the result will be positive: $$\frac{37}{17} \times \frac{10}{37} = \frac{37 \times 10}{17 \times 37} = \frac{10}{17}$$ Answer: 10/17