Identify the ascending numerical order of these fractions and decimals:

7/9
2/3
, 0.8
, 0.857
, 0.833.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
4 hours ago

To arrange the fractions and decimals in ascending numerical order, let's first convert the fractions into decimals for easier comparison:

  1. \( \frac{7}{9} \approx 0.7777... \) (repeating)
  2. \( \frac{2}{3} = 0.6666... \) (repeating)
  3. \( 0.8 = 0.8 \)
  4. \( 0.857 = 0.857 \)
  5. \( 0.833 = 0.833 \)

Now, we have the following decimals to compare:

  • \( 0.6666...\) (from \( \frac{2}{3} \))
  • \( 0.7777...\) (from \( \frac{7}{9} \))
  • \( 0.8 \)
  • \( 0.833 \)
  • \( 0.857 \)

Now, we can arrange them in ascending order:

  1. \( \frac{2}{3} \) (0.6666...)
  2. \( \frac{7}{9} \) (0.7777...)
  3. \( 0.8 \)
  4. \( 0.833 \)
  5. \( 0.857 \)

Thus, the ascending numerical order is:

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