Final answer:
To order fractions, converting them to decimal form is often helpful. The first set of fractions, when ordered from the highest to lowest value, is 7.875, 2.733..., 0.666..., 0.375, 0.25, 0.25. The second set, ordered from lowest to highest, is 0.75, 0.8, 1.2125.
Step-by-step explanation:
Ordering Fractions
To order the fractions from highest to lowest and from lowest to highest, it's essential to compare their values. This can be done by finding a common denominator, converting to decimals, or by cross-multiplication.
For the first set, converting the mixed numbers and fractions to decimals gives us: ((7.)7)/8 = 7.875, (1)/(4) = 0.25, (3)/(12) = 0.25, (8.2)/(3) = 2.733..., (3)/(8) = 0.375, (4)/(6) = 0.666...
Ordered from highest to lowest: 7.875, 2.733..., 0.666..., 0.375, 0.25, 0.25
For the second set: (9.7)/(8) = 1.2125, (3)/(4) = 0.75, (4)/(5) = 0.8
Ordered from lowest to highest: 0.75, 0.8, 1.2125