Visualize Fractions: exemplo 4.16

Start by locating the proper fraction $\frac{3}{4}.$ It is between $0$ and $1.$ To do this, divide the distance between $0$ and $1$ into four equal parts. Then plot $\frac{3}{4}.$

Next, locate the mixed number $4\frac{1}{5}.$ It is between $4$ and $5$ on the number line. Divide the number line between $4$ and $5$ into five equal parts, and then plot $4\frac{1}{5}$ one-fifth of the way between $4$ and $5$.

Now locate the improper fractions $\frac{4}{3}$ and $\frac{5}{3}$.

It is easier to plot them if we convert them to mixed numbers first.

Divide the distance between $1$ and $2$ into thirds.

Next let us plot $\frac{7}{2}.$ We write it as a mixed number, $\frac{7}{2}=3\frac{1}{2}$. Plot it between $3$ and $4.$

The number line shows all the numbers located on the number line.