Identify the ascending numerical order of these fractions and decimals: 7/9

, 2/3
, 0.8, 0.857, 0.833.

1 answer

To arrange the given fractions and decimals in ascending numerical order, we can convert them all into decimal form for easier comparison:

  • \( \frac{2}{3} = 0.6667 \) (approximately)
  • \( \frac{7}{9} = 0.7777 \) (approximately)
  • \( 0.8 \)
  • \( 0.833 \)
  • \( 0.857 \)

Now we can list them in decimal order:

  1. \( \frac{2}{3} \approx 0.6667 \)
  2. \( \frac{7}{9} \approx 0.7777 \)
  3. \( 0.8 \)
  4. \( 0.833 \)
  5. \( 0.857 \)

So, the ascending order of the fractions and decimals is:

\[ \frac{2}{3}, \frac{7}{9}, 0.8, 0.833, 0.857 \]