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Fractions greater than one

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The first instance of Fractions greater than one is under the ??? (this one appears to be the previous Recognizing fractions 2, one should eventually be deleted after it is decided which is "better"). 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 exercise uses fractions larger than one and has the user explore their geometric motivation.

Types of Problems

There are two types of problems in this exercise:

  1. What fraction is shaded: This problem has a picture cut into denominations, some of which are shaded. They are supposed to enter the amount shaded into the box. Fractions do not need to be reduced, and exact decimals are also permitted as correct answers.

    What fraction is shaded

  2. Which options show this fraction: This problem has a fraction given and the user is to select all diagrams below that illustrate that fraction.

    What options show this fraction


This exercise is easy to get accuracy badges because none of the denominations are very large. The speed badges are medium difficulty because when you are going quickly it is very possible to make minor errors.

  1. As mentioned above, exact decimals and unreduced fractions are permitted which in some circumstances may be faster to type.
  2. For the second problem type you can generally just count shaded pieces because in almost all cases the denominations are drawn correctly. The picture on this page for Which options show this fraction is the one case that research has found an option with incorrect denominations.

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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