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

Answer 1

To compare the fractions and decimals, we can convert the fractions to decimal form:

• \( \frac{7}{9} \approx 0.7777 \) (repeating)
• \( \frac{2}{3} \approx 0.6667 \) (repeating)
• \( 0.8 \) (already in decimal)
• \( 0.857 \) (already in decimal)
• \( 0.833 \) (already in decimal)

Now let's list them all together in decimal form for comparison:

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

Now, in ascending order:

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

So, the ascending order is:

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