Another way to represent an improper fraction is to write it as a mixed number.
Let's look at the improper fraction shown below.
We can separate this improper fraction into "wholes" and "fractions" like so:
We see that we have whole and a fraction of Therefore, this picture represents the mixed number
It's important to realize that and represent the same number!
What mixed number is shown in the picture below?
There are shapes completely shaded:
So, there are wholes.
Additionally, one shape is partially shaded:
This shape has parts, and parts are shaded. So, of this shape is shaded.
Therefore, the mixed number is
What mixed number is shown in the picture above?
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a
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$3\, \dfrac 78$ |
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b
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$3\, \dfrac 18$ |
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c
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$2\, \dfrac 78$ |
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d
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$3\, \dfrac 17$ |
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e
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$2\, \dfrac 18$ |
What mixed number is shown in the picture above?
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a
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$6\dfrac{4}{6}$ |
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b
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$4\dfrac{2}{8}$ |
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c
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$4\dfrac{1}{6}$ |
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d
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$6\dfrac{4}{1}$ |
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e
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$4\dfrac{2}{6}$ |
Draw a picture that represents the mixed number
The mixed number means we must have
entirely shaded shapes, and
an additional shape that represents
Therefore, we could represent using the following picture:
Which of the following pictures represents the mixed number $1\dfrac{1}{4}?$
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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 mixed number $2\dfrac{1}{6}?$
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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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