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The topic Building fractions from unit fractions is under the ???. This exercise used to be on one of the missions under The World of Math, but it was removed due to reordering, renaming, or other changes. This one appears to be old "recognizing fractions 2" and could maybe be deleted). This exercise helps understand fractions that are larger than one and representations of improper fractions.

Types of Problems

There are two types of problems in this exercise:

  1. How much is shaded: This problem has a unit block cut into a number of pieces and a collection of those unit blocks with some shaded. The user is asked to indicate the amount of the shaded material.
    Wholefrac

    How much is shaded

  2. Which are shaded correctly: This problem has a unit block cut into a number of pieces and a given number. Users are asked to select from a multiple select list all the pictures that have the given amount shaded.
    Wholefrac2

    Which are shaded correctly

Strategies

This exercise is easy to get accuracy badges because all the user has to do is count correctly. It is medium to get speed badges because on some of the more subdivided pieces (eighths and ninths for example) it can be a little tight to count if user goes too quickly.

  1. The fraction in the user's final answer need not be simplified.
  2. Users can sometimes count the spaces that are not shaded a little faster than those that are if it is close to the next whole number.

Real-life Applications

  1. Fractions are used in real life in many different ways, but they are most commonly used in the cooking, construction and science industries.

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