Final answer:
The fractions 2/-9, -4/3, 7/-12, and -5/18, when converted to decimals are -0.222, -1.333, -0.583, and -0.278 respectively. Arranging them in descending order gives 2/-9, -5/18, 7/-12, -4/3.
Step-by-step explanation:
To arrange the fractions 2/-9, -4/3, 7/-12, and -5/18 in descending order, we must first convert them to decimals to easily compare their values.
- Convert 2/-9 to decimal: -2/9 ≈ -0.222
- Convert -4/3 to decimal: -4/3 ≈ -1.333
- Convert 7/-12 to decimal: -7/12 ≈ -0.583
- Convert -5/18 to decimal: -5/18 ≈ -0.278
Now we can compare the decimals and arrange them in descending order:
- -0.222 (2/-9)
- -0.278 (-5/18)
- -0.583 (7/-12)
- -1.333 (-4/3)
The descending order of the fractions is 2/-9, -5/18, 7/-12, -4/3.