Let's convert each fraction to a decimal:
-
For \( \frac{5}{8} \): \[ 5 \div 8 = 0.625 \]
-
For \( \frac{1}{4} \): \[ 1 \div 4 = 0.25 \]
-
For \( \frac{3}{8} \): \[ 3 \div 8 = 0.375 \]
-
For \( \frac{2}{3} \): \[ 2 \div 3 \approx 0.6667 \text{ (or } 0.667 \text{ when rounded)} \]
-
For \( \frac{6}{7} \): \[ 6 \div 7 \approx 0.8571 \text{ (or } 0.857 \text{ when rounded)} \]
Now we have the decimal values:
- \( \frac{5}{8} = 0.625 \)
- \( \frac{1}{4} = 0.25 \)
- \( \frac{3}{8} = 0.375 \)
- \( \frac{2}{3} \approx 0.667 \)
- \( \frac{6}{7} \approx 0.857 \)
Next, let's list these decimal values:
- \( 0.25 \)
- \( 0.375 \)
- \( 0.625 \)
- \( 0.667 \)
- \( 0.857 \)
Now, we can arrange them in ascending order:
- \( 0.25 \)
- \( 0.375 \)
- \( 0.625 \)
- \( 0.667 \)
- \( 0.857 \)
So, the correct response showing the ascending numerical order is: 0.25, 0.375, 0.625, 0.667, 0.857