Question

Locate Fractions on the Number Line

$\frac{3}{4},-\frac{3}{4},1\frac{1}{3},-1\frac{2}{3},\frac{7}{2},-\frac{5}{2}$

Short answer

Location of the fraction$\frac{3}{4},-\frac{3}{4},1\frac{1}{3},-1\frac{2}{3},\frac{7}{2}.-\frac{5}{2}$ on the number lines are given below

Step-by-step solution

Step 1:Given information

Given fractions are $\frac{3}{4},-\frac{3}{4},1\frac{1}{3},-1\frac{2}{3},\frac{7}{2},-\frac{5}{2}$.

We have to plot these fraction the number line.

Step 2:Locating  proper fractions on the number line.

Here proper fraction are $\frac{3}{4}$and $-\frac{3}{4}$.

The fraction 3/4 is between 0 and 1. Parting the distance between 0 and 1 into four equal parts, then plot 3/4.Similarly plot −1/4.

,this is the number line of 3/4 and-3/4.

Step 3:Locating the mixed fractions on the number line

Here mixed fractions are $-1\frac{2}{3}and1\frac{1}{3}$.To locate $-1\frac{2}{3}$,first mark the points between -1 and-2 and then to locate 2/3 divide the sections between -1 and -2 into three equal parts since 3 is the denominator. Similarly we can locate$1\frac{1}{3}$.

This is number line of the given mixed fraction

Locating the improper fraction on the number line

Here improper fractions are $-\frac{5}{2}and\frac{7}{2}$.To locate the improper fractions ,

It is easier to plot them if we convert them to mixed numbers and then plot them,

$\frac{7}{2}=3\frac{1}{2}and-\frac{5}{2}=-2\frac{1}{2}.$,now we can plot them easily,