Final answer:
To arrange -31/8, -4, and -3 1/8 in increasing order, convert the mixed fraction into an improper fraction and compare the fractions to determine the correct arrangement.
Step-by-step explanation:
To arrange -31/8, -4, and -3 1/8 in increasing order, we need to convert the mixed fraction -3 1/8 into an improper fraction. -3 1/8 can be written as -25/8.
Now, we have -31/8, -4, and -25/8.
Comparing the three fractions, we can see that -31/8 is the smallest, -25/8 is in the middle, and -4 is the largest.
Therefore, the correct arrangement in increasing order is: -31/8, -25/8, -4.