Question

Calculate the decimal number for each fraction and identify the ascending numerical order of the decimal numbers:

58
, 14
, 38
, 23
, 67

(1 point)
Responses

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

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

58
, 14
, 38
, 23
, 67
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
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page 15 of 15

Answer 1

Let's convert each fraction to a decimal:

1. For \( \frac{5}{8} \):
\[
5 \div 8 = 0.625
\]

2. For \( \frac{1}{4} \):
\[
1 \div 4 = 0.25
\]

3. For \( \frac{3}{8} \):
\[
3 \div 8 = 0.375
\]

4. For \( \frac{2}{3} \):
\[
2 \div 3 \approx 0.6667 \text{ (or } 0.667 \text{ when rounded)}
\]

5. 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:
1. \( 0.25 \)
2. \( 0.375 \)
3. \( 0.625 \)
4. \( 0.667 \)
5. \( 0.857 \)

So, the correct response showing the ascending numerical order is:
**0.25, 0.375, 0.625, 0.667, 0.857**