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Example 1: Plotting 7/6

1. Identify the Points: Start with 0 and note that each subsequent mark represents 1/6.

2. Count the Spaces: To find 7/6, count each sixth from 0.

3. Locate 7/6 on the Line: Count seven spaces from 0. Thus, 7/6 is located at the seventh mark.

Example 2: Identifying 9/4

1. Identify the Points: Start with 0 and note that each subsequent mark represents 1/4.

2. Count the Spaces: To find 9/4, count each fourth from 0.

3. Locate 9/4 on the Line:From 0 to 1: 1/4, 2/4, 3/4, 4/4.
   From 1 to 2: 5/4, 6/4, 7/4, 8/4.
   9/4 is one mark beyond 2.

4. Verify the Location: The third choice correctly places the dot at 9/4.

Example 3: Determining the Fraction at Point A

1. Count the Spaces: Determine the number of equal spaces between whole numbers.

2. Identify the Unit Fraction: If there are six spaces, each represents 1/6.

3. Locate the Fraction:From 0 to 1: 1/6, 2/6, 3/6, 4/6, 5/6, 6/6.
   The next mark is 7/6.
   Point A is at 7/6.
   

Conclusion

By breaking down the number line into unit fractions and counting the spaces, locating any fraction greater than 1 becomes straightforward. Practice these steps using our flashcards and practice videos to ensure you can confidently find fractions greater than 1 on the number line.