Let's look at the following fraction model, where each circle represents one whole.
Each whole has been split into parts. Of these parts, are shaded. Therefore, this picture represents the following fraction:
This type of fraction is called an improper fraction because the numerator () is larger than the denominator (). Improper fractions are used to represent numbers greater than or equal to one whole.
Improper fractions are sometimes called top-heavy fractions.
What improper fraction is shown in the picture below?
Each shape consists of parts, and there are shaded parts in total.
Therefore, the picture represents the improper fraction
What improper fraction is shown in the picture above?
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a
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$\dfrac{2}{5}$ |
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b
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$\dfrac{3}{7}$ |
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c
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$\dfrac{5}{8}$ |
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d
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$\dfrac{2}{8}$ |
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e
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$\dfrac{8}{5}$ |
The improper fraction represented by the shaded parts in the picture above is
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b
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c
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d
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e
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What improper fraction is shown in the picture above?
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a
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$\dfrac{20}{17}$ |
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b
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$\dfrac{4}{17}$ |
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c
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$\dfrac{17}{4}$ |
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d
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$\dfrac{17}{5}$ |
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e
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$\dfrac{5}{4}$ |
Draw a fraction model that represents the improper fraction
The improper fraction means
a "whole" is made up of parts, and
parts must be shaded.
Therefore, a correct picture is the following:
Which of the following pictures represents the improper fraction $\dfrac{7}{4}?$
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a
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b
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c
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d
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e
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Which of the following pictures represents the improper fraction $\dfrac{8}{3}?$
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a
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b
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c
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d
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e
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We can also represent improper fractions using number lines.
For example, let's find the improper fraction represented by the number line below.
Notice that the line segment from to is split into equal parts. Each part represents of a whole.
The number we are interested in is located steps from (left to right).
Therefore, the picture represents the improper fraction
What improper fraction is shown on the number line?
Notice that the line segment from to is split into equal parts. Each part represents of a whole.
The number we are interested in is located steps from (left to right).
Therefore, the picture represents
The improper fraction represented on the number line above is
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a
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b
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c
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d
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e
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What improper fraction is shown on the number line?
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a
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$\dfrac{4}{6}$ |
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b
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$\dfrac{6}{3}$ |
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c
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$\dfrac{1}{4}$ |
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d
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$\dfrac{6}{4}$ |
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e
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$\dfrac{3}{6}$ |
The improper fraction represented on the number line above is
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b
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c
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d
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e
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