Question

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


8/5
, 4/1
, 8/3
, 3/2
, 7/6
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
0.25, 0.375, 0.625, 0.667, 0.857

0.625, 0.25, 0.375, 0.667, 0.857
0.625, 0.25, 0.375, 0.667, 0.857

5/8
, 1/4
, 3/8
, 2/3
, 6/7

Answer 1

Let’s first calculate the decimal values for each fraction given.

1. **5/8**
- \( 5 \div 8 = 0.625 \)

2. **1/4**
- \( 1 \div 4 = 0.25 \)

3. **3/8**
- \( 3 \div 8 = 0.375 \)

4. **2/3**
- \( 2 \div 3 \approx 0.667 \)

5. **6/7**
- \( 6 \div 7 \approx 0.857 \)

Now, let's summarize the decimal values:

- \( 5/8 = 0.625 \)
- \( 1/4 = 0.25 \)
- \( 3/8 = 0.375 \)
- \( 2/3 \approx 0.667 \)
- \( 6/7 \approx 0.857 \)

Now, we will list these values in ascending order:

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

Thus, the ascending numerical order of the decimal numbers is:

**0.25, 0.375, 0.625, 0.667, 0.857**.