A fraction is a number that represents part of a whole.
Let's take a look at the shape below.
This circle is an example of a fraction model.
Note that
the entire circle represents one whole,
the circle has been split into equal parts, and
only part of the circle is shaded.
We can use the following fraction to represent the amount of circle that is shaded:
The two numbers that make up the fraction have special names:
The number on top of the fraction () is called the numerator. It represents the number of shaded parts.
The number on the bottom () is called the denominator. It represents the total number of parts.
What fraction of the shape is shaded?
There are parts of the shape in total, and parts are shaded.
Therefore, of the shape is shaded.
What fraction of the circle is shaded?
|
a
|
$\dfrac{1}{5}$ |
|
b
|
$\dfrac{2}{5}$ |
|
c
|
$\dfrac{5}{4}$ |
|
d
|
$\dfrac{4}{5}$ |
|
e
|
$\dfrac{5}{2}$ |
What fraction of the shape is shaded?
|
a
|
$\dfrac{7}{12}$ |
|
b
|
$\dfrac{5}{11}$ |
|
c
|
$\dfrac{7}{10}$ |
|
d
|
$\dfrac{12}{7}$ |
|
e
|
$\dfrac{10}{7}$ |
Which of the following shapes represents the fraction
Notice that means we must have parts in total, and only of them can be shaded.
Therefore, the correct shape is the following:
Which of the following shapes represents the fraction $\dfrac{1}{6}?$
|
a
|
 |
|
b
|
|
|
c
|
|
|
d
|
 |
|
e
|
 |
Which of the following shapes represents the fraction $\dfrac{3}{6}?$
|
a
|
 |
|
b
|
|
|
c
|
|
|
d
|
 |
|
e
|
 |
Another way to model fractions is with a point on a number line from to
In this case,
the denominator is the total number of equal parts that the line is split into, and
the numerator is the number of steps to the point from (left to right).
For example, let's find the fraction represented by the number line below.
Notice that the line is split into equal parts. And the number that we are interested in is located steps from (left to right).
Therefore, the picture represents the fraction
What fraction is represented on the number line depicted below?
Notice that the line is split into equal parts.
The number we are interested in is located steps from (left to right).
Therefore, the picture represents the fraction
What fraction is shown on the number line?
|
a
|
$\dfrac{2}{1}$ |
|
b
|
$\dfrac{1}{5}$ |
|
c
|
$\dfrac{3}{5}$ |
|
d
|
$\dfrac{5}{3}$ |
|
e
|
$\dfrac{2}{5}$ |
What fraction is shown on the number line?
|
a
|
$\dfrac 58$ |
|
b
|
$\dfrac 57$ |
|
c
|
$\dfrac 38$ |
|
d
|
$\dfrac 47$ |
|
e
|
$\dfrac 48$ |
