Let's compare the fractions [tex]\(\frac{3}{4}\)[/tex] and [tex]\(\frac{1}{3}\)[/tex].
### Step-by-Step Solution:
1. Convert each fraction to a decimal:
- Convert [tex]\(\frac{3}{4}\)[/tex] to a decimal:
[tex]\[
\frac{3}{4} = 0.75
\][/tex]
- Convert [tex]\(\frac{1}{3}\)[/tex] to a decimal:
[tex]\[
\frac{1}{3} \approx 0.3333
\][/tex]
2. Compare the decimal values:
- We have [tex]\(0.75\)[/tex] and approximately [tex]\(0.3333\)[/tex].
- Clearly, [tex]\(0.75\)[/tex] is greater than [tex]\(0.3333\)[/tex].
3. Determine the relationship between [tex]\(\frac{3}{4}\)[/tex] and [tex]\(\frac{1}{3}\)[/tex]:
- Since [tex]\(0.75\)[/tex] is greater than [tex]\(0.3333\)[/tex], we conclude that:
[tex]\[
\frac{3}{4} > \frac{1}{3}
\][/tex]
So, the inequality is:
[tex]\[
\frac{3}{4} > \frac{1}{3}
\][/tex]
