calculate the decimal number for each fraction and identify The ascending numerical order of the decimal number 5/8, 1/4, 3/8 2/3, 6/7

Answer 1

To convert the given fractions to decimal numbers, we can perform the division for each fraction:

1. \( \frac{5}{8} = 0.625 \)
2. \( \frac{1}{4} = 0.25 \)
3. \( \frac{3}{8} = 0.375 \)
4. \( \frac{2}{3} \approx 0.6667 \) (rounded to four decimal places)
5. \( \frac{6}{7} \approx 0.8571 \) (rounded to four decimal places)

Now we can list these decimal values:

• \( \frac{1}{4} = 0.25 \)
• \( \frac{3}{8} = 0.375 \)
• \( \frac{5}{8} = 0.625 \)
• \( \frac{2}{3} \approx 0.6667 \)
• \( \frac{6}{7} \approx 0.8571 \)

Next, we will order these decimal numbers in ascending order:

1. \( 0.25 \) (from \( \frac{1}{4} \))
2. \( 0.375 \) (from \( \frac{3}{8} \))
3. \( 0.625 \) (from \( \frac{5}{8} \))
4. \( 0.6667 \) (from \( \frac{2}{3} \))
5. \( 0.8571 \) (from \( \frac{6}{7} \))

Thus, the ascending order of the decimal numbers is:

1. \( \frac{1}{4} \) (0.25)
2. \( \frac{3}{8} \) (0.375)
3. \( \frac{5}{8} \) (0.625)
4. \( \frac{2}{3} \) (0.6667)
5. \( \frac{6}{7} \) (0.8571)