Question

Identify the ascending numerical order of these fractions and decimals: 7/9, 2/3, 0.8, 0.857, 0.833

Answer 1

To arrange the fractions and decimals in ascending numerical order, we need to convert the fractions into decimal form for easier comparison. Here's the conversion:

- \( \frac{7}{9} \) = 0.777...
- \( \frac{2}{3} \) = 0.666...
- 0.8 = 0.8
- 0.857 = 0.857
- 0.833 = 0.833...

Now, let's list these values:

1. \( \frac{2}{3} \) = 0.666...
2. \( \frac{7}{9} \) = 0.777...
3. 0.8 = 0.8
4. 0.833 = 0.833
5. 0.857 = 0.857

Now we can write them in ascending order:

- \( \frac{2}{3} \) (0.666...)
- \( \frac{7}{9} \) (0.777...)
- 0.8
- 0.833
- 0.857

Thus, the ascending order is:

\( \frac{2}{3}, \frac{7}{9}, 0.8, 0.833, 0.857 \)