Question

Locate Fractions on the Number Line

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

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

. 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 on a number line.

. Locating  proper fractions on the number line.

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

The fraction 3/4 is between 0 and 1. Divide 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.

. Locating the mixed fractions on the number line

Here mixed fractions are $-1\frac{2}{3}and1\frac{1}{3}$.

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 the number line of the given mixed fraction

Step 4.  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, now we can plot them easily. To locate $\frac{1}{2}$, divide the space into 2 equal parts because the denominator is 2 and then plot.