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Determine the relationship between the two fractions.

[tex]\[ \frac{6}{5} \ \square \ \frac{7}{6} \][/tex]

Fill in the blank with the appropriate symbol: [tex]\( \ \textless \ \)[/tex], [tex]\( \ \textgreater \ \)[/tex], or [tex]\( = \)[/tex].

Sagot :

GinnyAnswer
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]
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