Locate Fractions and Decimals on the Number Line.

In the following exercises, locate the numbers on a number line

$\frac{3}{4},-\frac{3}{4},1\frac{2}{3},-1\frac{2}{3},\frac{5}{2},-\frac{5}{2}$

Given fractions are $\frac{3}{4},-\frac{3}{4},1\frac{2}{3},-1\frac{2}{3},\frac{5}{2},-\frac{5}{2}$

We have to plot this fractions on a number line.

Here, the proper fractions are$\frac{3}{4}$

The fraction $\frac{3}{4}$is between 0 and 1 into four equal parts, then plot $\frac{3}{4}$. similarly plot$-\frac{3}{4}$

this is the number line of$\frac{3}{4}and-\frac{3}{4}$

Here mixed fractions are $1\frac{2}{3}$

First mark the point between $-1and-2$and the to locate $-1\frac{2}{3}$divide the sections between $-1and-2$into three equal parts since 3 is in the denominator. Similarly we can locate $-1\frac{2}{3}$. This is the number line of the given mixed fractions

Here improper fractions are$-\frac{5}{2}$

To locate the improper fractions, it is easier to plot them if we convert them to mixed numbers and then plot them, now we can plot them easily . To locate $-\frac{5}{2}$, divide the space between two equal parts because denominator is 2 and then plot .