Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

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]
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.