In this exercise you will locate a fraction between the closest two integers
on a number line.
EXAMPLE:
The number
[beautiful math coming... please be patient]
$\displaystyle\,\frac{23}7\,$
lies between
[beautiful math coming... please be patient]
$\,3\,$ and $\,4\,$.
Thought process:
[beautiful math coming... please be patient]
$\displaystyle\frac{23}7 = 3 + \frac{2}7\,$.
EXAMPLE:
The number
[beautiful math coming... please be patient]
$\displaystyle\,-\frac{23}7\,$
lies between
[beautiful math coming... please be patient]
$\,-4\,$ and $\,-3\,$.
Thought process: Since
[beautiful math coming... please be patient]
$\quad\frac{23}7 = 3 + \frac{2}7\quad$
lies between
[beautiful math coming... please be patient]
$\,3\,$ and $\,4\,$,
its opposite
lies between
[beautiful math coming... please be patient]
$\,-4\,$ 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.)