Another way to model fractions is with a point on a number line from 0 to 1.

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 0 (left to right).

For example, let's find the fraction represented by the number line below.

Notice that the line is split into \color{blue}5 equal parts. And the number that we are interested in is located \color{red}2 steps from 0 (left to right).

Therefore, the picture represents the fraction \dfrac{\color{red}2}{\color{blue}5}.

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What fraction is represented on the number line above?

EXPLANATION

Notice that the line is split into \color{blue}12 equal parts.

The number we are interested in is located \color{red}1 step from 0 (left to right).

Therefore, the picture represents \dfrac{\color{red}1}{\color{blue}12}.

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What fraction is shown on the number line?

a
$\dfrac 14$
b
$\dfrac 24$
c
$\dfrac 13$
d
$\dfrac 34$
e
$\dfrac 15$

The fraction represented on the number line above is

a
b
c
d
e

What fraction is represented on the number line depicted below?

EXPLANATION

Notice that the line is split into \color{blue}8 equal parts.

The number we are interested in is located \color{red}3 steps from 0 (left to right).


Therefore, the picture represents the fraction \dfrac{\color{red}3}{\color{blue}8}.

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What fraction is shown on the number line?

a
$\dfrac{1}{4}$
b
$\dfrac{1}{3}$
c
$\dfrac{2}{1}$
d
$\dfrac{2}{3}$
e
$\dfrac{2}{4}$

What fraction is shown on the number line?

a
$\dfrac 57$
b
$\dfrac 27$
c
$\dfrac 47$
d
$\dfrac 28$
e
$\dfrac 26$
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