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Test Yourself: Download Our Flashcards or Watch Our Practice Video

Mastering Fractions Greater Than 1 on the Number Line

To reinforce your understanding and test your skills, we’ve created a set of flashcards and a practice video. These tools will help you become proficient at locating fractions greater than 1 on the number line, ensuring you master this essential math skill.

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Plotting Fractions Greater Than 1: A Step-by-Step Guide

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.

Understanding fractions greater than 1 and plotting them on the number line can be a challenging concept. One of the best online resources to learn this is Khan Academy. Their interactive exercise on plotting fractions greater than 1 on the number line is an excellent way to grasp this topic. You can explore this lesson in detail by watching the video below and following along with the exercises.

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