Locating Fractions on a Number Line

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The concepts for this exercise are summarized below.
For a complete discussion, read the text.
Need some basic practice renaming fractions first?
Rewriting Fractions as a Whole Number plus a Fraction

In this exercise you will locate a fraction between the closest two integers on a number line.

EXAMPLE:

The number

$\displaystyle\,\frac{23}7\,$ lies between

$\,3\,$ and $\,4\,$.

Thought process:

$\displaystyle\frac{23}7 = 3 + \frac{2}7\,$.

EXAMPLE:

The number

$\displaystyle\,-\frac{23}7\,$ lies between

$\,-4\,$ and $\,-3\,$.

Thought process: Since

$\quad\frac{23}7 = 3 + \frac{2}7\quad$ lies between

$\,3\,$ and $\,4\,$,
its opposite lies between

$\,-4\,$ and $\,-3\,$.

Master the ideas from this section
by practicing the exercise at the bottom of this page.

When you're done practicing, move on to:
Fractions Involving Zero

In this exercise, always input the two integers with the least integer first.
(Remember, least means farthest to the left on the number line.)

(an even number, please)