-1.3 : 1 5/26

Let's solve the expression: $$-1.3 : 1\frac{5}{26}$$ First, convert the decimal to a fraction: $$-1.3 = -\frac{13}{10}$$ Next, convert the mixed number to an improper fraction: $$1\frac{5}{26} = \frac{1 \times 26 + 5}{26} = \frac{31}{26}$$ Now, we have: $$-\frac{13}{10} : \frac{31}{26}$$ To divide by a fraction, multiply by its reciprocal: $$-\frac{13}{10} \times \frac{26}{31}$$ Multiply the fractions: $$-\frac{13}{10} \times \frac{26}{31} = -\frac{13 \times 26}{10 \times 31} = -\frac{13 \times (2 \times 13)}{2 \times 5 \times 31} = -\frac{13 \times 13}{5 \times 31} = -\frac{169}{155}$$ Answer: -169/155