We can use fraction models to subtract fractions from whole numbers.
For example, let's find the value of using the model below:
We cannot subtract the two numbers straight away because they are split into different numbers of parts (i.e., they have different denominators).
In order to subtract, we split the whole number ( in this case) into equal parts, as follows:
Now, both shapes are split into equal parts, and we have parts in total. Therefore:
Use the model below to find the value of as an improper fraction.
All three shapes are already split into equal parts, and we have parts in total.
Therefore,
Using the fraction model above, find the value of $1-\dfrac 1 4.$
a
|
$\dfrac 3 4$ |
b
|
$\dfrac 5 4$ |
c
|
$\dfrac{3}{3}$ |
d
|
$\dfrac 1 2$ |
e
|
$\dfrac 1 4$ |
Using the model above, what is $3-\dfrac{5}{7}$ as an improper fraction?
a
|
$\dfrac{15}{7}$ |
b
|
$\dfrac{16}{7}$ |
c
|
$\dfrac{12}{7}$ |
d
|
$\dfrac{9}{7}$ |
e
|
$\dfrac{18}{7}$ |
Use the model above to determine the missing number in the statement below.
The shape on the right is split into equal parts. We can split the first and second shapes into equal parts as follows:
We have shaded parts in total.
Therefore,
So, the missing number is
Use the model above to determine the missing number in the statement below. \[ 1-\dfrac{2}{6} = \dfrac{\fbox{$\,\phantom{0}\,$}}{6} \]
a
|
$4$ |
b
|
$1$ |
c
|
$3$ |
d
|
$5$ |
e
|
$2$ |
Use the model above to determine the missing number in the statement below.
\[ 2 - \dfrac{2}{9} = \dfrac{\fbox{$\,\phantom{0}\,$}}{9} \]
a
|
$16$ |
b
|
$14$ |
c
|
$15$ |
d
|
$13$ |
e
|
$17$ |
Use a visual fraction model to find the value of as an improper fraction.
Writing as a visual fraction model, we get:
The shape on the right is split into equal parts. We can split the other two shapes into equal parts as follows:
We have shaded parts in total.
Therefore,
Use a visual fraction model to find the value of $2 - \dfrac{1}{5}$ as an improper fraction.
a
|
$\dfrac{7}{5}$ |
b
|
$\dfrac{8}{5}$ |
c
|
$\dfrac{6}{5}$ |
d
|
$\dfrac{9}{5}$ |
e
|
$\dfrac{10}{5}$ |
Use a visual fraction model to find the value of $3 - \dfrac{1}{4}$ as an improper fraction.
a
|
$\dfrac{7}{3}$ |
b
|
$\dfrac{5}{3}$ |
c
|
$\dfrac{17}{6}$ |
d
|
$\dfrac{9}{4}$ |
e
|
$\dfrac{11}{4}$ |