First rewrite the list without the abs indicators:
⅗ ⅕ 1 ⅘.
They’re all fifths except 1, so make 1 into ⁵⁄₅.
Now they’re all fifths so we just write the numerators:
3 1 5 4 and order them 1 3 4 5.
So the list becomes ⅕ |⅗| ⅘ |-1| in their original form, 4th answer:
⅕ < |⅗| < ⅘ < |-1|