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.)