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 {\color{blue}4} equal parts, and

  • only \color{red}1 part of the circle is shaded.

We can use the following fraction to represent the amount of circle that is shaded: \dfrac{\color{red}1}{\color{blue}4}

The two numbers that make up the fraction have special names:

  • The number on top of the fraction ( {\color{red}1} ) is called the numerator. It represents the number of shaded parts.

  • The number on the bottom ( {\color{blue}4} ) is called the denominator. It represents the total number of parts.

FLAG

What fraction of the shape is shaded?

EXPLANATION

There are \color{blue}5 parts of the shape in total, and \color{red}4 parts are shaded.

Therefore, \dfrac{\color{red}4}{\color{blue}5} of the shape is shaded.

FLAG

What fraction of the circle is shaded?

a
$\dfrac{5}{2}$
b
$\dfrac{1}{5}$
c
$\dfrac{4}{5}$
d
$\dfrac{5}{4}$
e
$\dfrac{2}{5}$

What fraction of the shape is shaded?

a
$\dfrac{7}{12}$
b
$\dfrac{7}{10}$
c
$\dfrac{5}{11}$
d
$\dfrac{12}{7}$
e
$\dfrac{10}{7}$

Which of the following shapes represents the fraction \dfrac{3}{5}?

EXPLANATION

Notice that \dfrac{\color{red}3}{\color{blue}5} means we must have \color{blue}5 parts in total, and only \color{red}3 of them can be shaded.

Therefore, the correct shape is the following:

FLAG

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
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