Question

Identify the descending numerical order of these fractions and decimals, 0.733, 0.923, 1 2/5, 17/20, 15/18

Answer 1

To arrange the given fractions and decimals in descending numerical order, we first need to convert everything to a common format (either to decimals or to fractions) for easier comparison.

Let's convert the fractions and mixed numbers to decimals:

1. **0.733** - already a decimal.
2. **0.923** - already a decimal.
3. **1 2/5**: Convert to decimal.
- 2/5 = 0.4, so 1 + 0.4 = 1.4
4. **17/20**: Convert to decimal.
- 17 ÷ 20 = 0.85
5. **15/18**: Simplify first (if possible).
- 15/18 = 5/6; convert to decimal.
- 5 ÷ 6 = approximately 0.8333

Now, we have:
- 0.733
- 0.923
- 1.4 (from 1 2/5)
- 0.85 (from 17/20)
- 0.8333 (from 15/18)

Now, we can order these in descending order:

1. 1.4
2. 0.923
3. 0.85
4. 0.8333
5. 0.733

Thus, the descending order is:

**1 2/5, 0.923, 17/20, 15/18, 0.733**