Final answer:
The sum of -1314 and 434 as a mixed number in simplest form is -11/25.
Step-by-step explanation:
To add -1314 and 434, we need to find the sum of the whole numbers and the sum of the fractions separately.
-1314 + 434 = -880
The next step is to simplify the fraction by finding the greatest common factor (GCF) of the numerator and denominator.
GCF of 880 and 1000 = 80
Divide both the numerator and denominator by 80 to simplify the fraction:
-880/1000 = -11/25
So, the sum of -1314 and 434 as a mixed number in simplest form is -11/25.