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]
