First, compare each fraction to [tex]\frac{1}{2}[/tex].

[tex]\frac{5}{8}[/tex] is [tex]\square[/tex] [tex]\frac{1}{2}[/tex]

[tex]\frac{2}{7}[/tex] is [tex]\square[/tex] [tex]\frac{1}{2}[/tex]



Answer :

Let's compare each fraction to [tex]\(\frac{1}{2}\)[/tex].

### Step-by-Step Comparison

1. Compare [tex]\(\frac{5}{8}\)[/tex] to [tex]\(\frac{1}{2}\)[/tex]:

- Calculate the decimal value of [tex]\(\frac{5}{8}\)[/tex]:
[tex]\[ \frac{5}{8} = 0.625 \][/tex]

- Calculate the decimal value of [tex]\(\frac{1}{2}\)[/tex]:
[tex]\[ \frac{1}{2} = 0.5 \][/tex]

- Compare the two decimal values:
[tex]\[ 0.625 \quad \text{vs} \quad 0.5 \][/tex]

Since [tex]\(0.625\)[/tex] is greater than [tex]\(0.5\)[/tex], we have:
[tex]\[ \frac{5}{8} \text{ is greater than } \frac{1}{2} \][/tex]

2. Compare [tex]\(\frac{2}{7}\)[/tex] to [tex]\(\frac{1}{2}\)[/tex]:

- Calculate the decimal value of [tex]\(\frac{2}{7}\)[/tex]:
[tex]\[ \frac{2}{7} \approx 0.2857 \][/tex]

- Calculate the decimal value of [tex]\(\frac{1}{2}\)[/tex]:
[tex]\[ \frac{1}{2} = 0.5 \][/tex]

- Compare the two decimal values:
[tex]\[ 0.2857 \quad \text{vs} \quad 0.5 \][/tex]

Since [tex]\(0.2857\)[/tex] is less than [tex]\(0.5\)[/tex], we have:
[tex]\[ \frac{2}{7} \text{ is less than } \frac{1}{2} \][/tex]

### Conclusion

- [tex]\(\frac{5}{8}\)[/tex] is greater than [tex]\(\frac{1}{2}\)[/tex]
- [tex]\(\frac{2}{7}\)[/tex] is less than [tex]\(\frac{1}{2}\)[/tex]