We can represent mixed numbers with number lines.

For example, let's write the number shown on the number line below as a mixed number.

First, notice that the line segment from 0 to 1 is split into \color{blue}3 equal parts.

We can land on our point by making \color{red}1 whole step plus \color{blue}2 part steps (out of a possible {\color{blue}{3}}).

Therefore, the mixed number is {\color{red}1}{\color{blue}\dfrac{2}{3}}.

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What mixed number is shown on the number line?

EXPLANATION

The line segment from 0 to 1 is split into \color{blue}6 equal parts. Each part represents \dfrac{1}{\color{blue}6} of a whole.

Starting from zero, we land on our point by making \color{red}2 whole steps plus \color{blue}1 part step:

Therefore, the mixed number is {\color{red}2}{\color{blue}\dfrac{1}{6}}.

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What mixed number is shown on the number line?

a
$3\dfrac{1}{2}$
b
$7\dfrac{1}{2}$
c
$2\dfrac{1}{2}$
d
$\dfrac{1}{2}$
e
$2\dfrac{1}{3}$

What mixed number is shown on the number line?

a
$3\dfrac 14$
b
$2\dfrac 34$
c
$4\dfrac 14$
d
$2\dfrac 12$
e
$2\dfrac 14$

What mixed number is shown on the number line?

EXPLANATION

The line segment from 0 to 1 is split into \color{blue}4 equal parts. Each part represents \dfrac{1}{\color{blue}4} of a whole.

Starting from zero, we land on our point by making \color{red}2 whole steps plus \color{blue}3 part steps (out of a possible {\color{blue}{4}} ).

Therefore, the mixed number is {\color{red}2}{\color{blue}\dfrac{3}{4}}

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What mixed number is shown on the number line?

a
$1\dfrac 34$
b
$2\dfrac 14$
c
$1\dfrac 14$
d
$2\dfrac 34$
e
$1\dfrac 12$

What mixed number is shown on the number line?

a
$1\dfrac 16$
b
$\dfrac 56$
c
$1\dfrac 56$
d
$2\dfrac 16$
e
$2\dfrac 45$
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