Final answer:
To arrange {1/2}, {1/5}, {1/3}, {1/6}, {1/4}, {1/7}, {1/5}, {1/8} in ascending order, compare their decimal values and list them from least to greatest: {1/8}, {1/7}, {1/6}, {1/5}, {1/5}, {1/4}, {1/3}, {1/2}.
Step-by-step explanation:
Arranging Fractions in Ascending Order
To arrange the given set of fractions {1/2}, {1/5}, {1/3}, {1/6}, {1/4}, {1/7}, {1/5}, {1/8} in ascending order, we need to compare their decimal values or make the denominators the same. Since the denominators are all different, the easiest method is to compare the decimal values of these fractions.
- 1/8 = 0.125
- 1/7 = 0.142857
- 1/6 = 0.1666...
- 1/5 = 0.2
- 1/4 = 0.25
- 1/3 = 0.333...
- 1/2 = 0.5
The fractions ordered from least to greatest are: {1/8}, {1/7}, {1/6}, {1/5}, {1/5}, {1/4}, {1/3}, {1/2}.