Calculate the decimal number for each fraction and identify the ascending numerical order of the decimal numbers: 5/8 , 1/4 , 3/8 , 2/3 , 6/7 (1 point) Responses 5/8 , 1/4 , 3/8 , 2/3 , 6/7 Start Fraction 5 over 8 End Fraction , Start Fraction 1 over 4 End Fraction , Start Fraction 3 over 8 End Fraction , Start Fraction 2 over 3 End Fraction , Start Fraction 6 over 7 End Fraction 0.625, 0.25, 0.375, 0.667, 0.857 0.625, 0.25, 0.375, 0.667, 0.857 85 , 41 , 83 , 32 , 76 Start Fraction 8 over 5 End Fraction , Start Fraction 4 over 1 End Fraction , Start Fraction 8 over 3 End Fraction , Start Fraction 3 over 2 End Fraction , Start Fraction 7 over 6 End Fraction 0.25, 0.375, 0.625, 0.667, 0.857

Answer 1

To calculate the decimal numbers for each fraction, we divide the numerator by the denominator.

1. \( \frac{5}{8} = 0.625 \)
2. \( \frac{1}{4} = 0.25 \)
3. \( \frac{3}{8} = 0.375 \)
4. \( \frac{2}{3} \approx 0.667 \)
5. \( \frac{6}{7} \approx 0.857 \)

Now we have the following decimal values:

• \( \frac{1}{4} = 0.25 \)
• \( \frac{3}{8} = 0.375 \)
• \( \frac{5}{8} = 0.625 \)
• \( \frac{2}{3} \approx 0.667 \)
• \( \frac{6}{7} \approx 0.857 \)

Now we can arrange them 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. \( 0.667 \) (from \( \frac{2}{3} \))
5. \( 0.857 \) (from \( \frac{6}{7} \))

Thus, the ascending order of the decimal numbers is:

0.25, 0.375, 0.625, 0.667, 0.857