When we divide a fraction by a whole number, say the idea is to
split the fraction into equal parts, and
determine the fraction that makes up each part.
For example, suppose we wish to find the value of
Let's start by drawing the fraction model for
We need to divide this fraction by To do this, we draw a horizontal line through our fraction that splits it into equal parts.
We only need to determine the fraction that makes up one of the parts. Therefore, we can focus on only one row (i.e., the bottom row).
Now, we remove all the shaded parts not in the bottom row.
From the picture on the right, we obtain that the shaded part represents of the whole. Therefore, we conclude that
What division problem is represented by the model below?
We have on the left and on the right.
Therefore, the division problem shown is
What division problem is represented by the model above?
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a
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$\dfrac{4}{5} \div 5 = \dfrac{4}{25}$ |
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b
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$\dfrac{4}{5} \div 5 = \dfrac{8}{25}$ |
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c
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$\dfrac{1}{5} \div 10 = \dfrac{21}{25}$ |
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d
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$\dfrac{1}{5} \div 5 = \dfrac{21}{25}$ |
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e
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$\dfrac{5}{4} \div 5 = \dfrac{25}{4}$ |
What division problem is represented by the model above?
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a
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$\dfrac{4}{3} \div 4 = \dfrac{8}{3}$ |
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b
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$\dfrac{3}{4} \div 4 = \dfrac{8}{3}$ |
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c
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$\dfrac{4}{3} \div 4 = \dfrac{3}{8}$ |
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d
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$\dfrac{3}{4} \div 2 = \dfrac{3}{8}$ |
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e
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$\dfrac{4}{3} \div 2 = \dfrac{3}{8}$ |
What picture is missing from the division model below?
In the model, we have on the left.
Since we need to divide by , we split the whole into equal parts horizontally.
From the picture on the right, we obtain that the shaded part represents of the whole.
Therefore, the missing picture is the following:
What picture is missing from the division model above?
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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 picture is missing from the division model above?
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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 number is missing from the division problem below?
We have on the left and on the right.
The division operation splits each vertical line into equal parts. So the shaded parts on the left are times larger than the shaded parts on the right.
Therefore, the division problem shown is
So, the missing number is
What number is missing from the division problem above?
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a
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$3$ |
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b
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$5$ |
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c
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$2$ |
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d
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$4$ |
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e
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$6$ |
What number is missing from the division problem above?
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a
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$2$ |
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b
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$3$ |
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c
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$5$ |
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d
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$4$ |
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e
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$1$ |
Use the model below to calculate
Since we need to divide by , we split the whole into equal parts horizontally.
From the picture on the right, we obtain that the shaded part represents of the whole.
Therefore,
Use the model above to calculate $\dfrac{2}{3} \div 3.$
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a
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$\dfrac{2}{6}$ |
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b
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$\dfrac{6}{9}$ |
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c
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$\dfrac{1}{3}$ |
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d
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$\dfrac{4}{9}$ |
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e
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$\dfrac{2}{9}$ |
Use the model above to calculate $\dfrac{2}{3} \div 5.$
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a
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$\dfrac{5}{6}$ |
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b
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$\dfrac{2}{15}$ |
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c
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$\dfrac{3}{10}$ |
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d
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$\dfrac{10}{3}$ |
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e
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$\dfrac{6}{15}$ |
