To compare the fractions \(\frac{6}{5}\) and \(\frac{7}{6}\), let's follow these steps.
Step 1: Convert each fraction to a decimal.
For \(\frac{6}{5}\):
[tex]\[
\frac{6}{5} = 1.2
\][/tex]
For \(\frac{7}{6}\):
[tex]\[
\frac{7}{6} \approx 1.1667
\][/tex]
Step 2: Compare the decimal values.
Now, we compare the two decimal values:
[tex]\[
1.2 \quad \text{and} \quad 1.1667
\][/tex]
Step 3: Determine the relationship between the two values.
Since \(1.2\) is greater than \(1.1667\), we can conclude that:
[tex]\[
\frac{6}{5} > \frac{7}{6}
\][/tex]
So, the correct symbol to place in the comparison is ">". Thus,
[tex]\[
\frac{6}{5} > \frac{7}{6}
\][/tex]
