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

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.)

lies between:       and