# Locating Fractions on a Number Line

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

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 $\,-3\,$.

Thought process: Since $\quad\frac{23}7 = 3 + \frac{2}7\quad$ lies between $\,3\,$ and $\,4\,$, its opposite lies between $\,-4\,$ and $\,-3\,$.

## Practice

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