Answer:To determine which set of fractions is in descending order, we can convert all the fractions to decimals and compare them.
Let's convert each fraction to a decimal:
1. 3 1/5 can be written as 3.2 (since 1/5 = 0.2).
2. 3 1/10 can be written as 3.1 (since 1/10 = 0.1).
3. 3 1/15 can be written as 3.067 (since 1/15 ≈ 0.067).
4. 3/4 can be written as 0.75.
5. 1/2 can be written as 0.5.
Now let's compare the decimals:
1. 3.067
2. 3.1
3. 3.2
4. 0.5
5. 0.75
From this comparison, we can see that the correct set of fractions in descending order is option (a): 3 1/15, 3 1/10, 3 1/5, 1/2, 3/4.
In this set, the decimals go from the highest value (3.067) to the lowest value (0.75). Therefore, the fractions are arranged in descending order.