Question

Draw a number line and represent the following fractions:

$\frac{4}{5}$, $\frac{6}{5}$, $\frac{7}{5}$, $\frac{3}{5}$

Answer 1

Step 1: Find the integers between which the given fractions will lie on the number line

The fraction $\frac{3}{5}$ and $\frac{4}{5}$ are greater than $0$ and less than $1$. So, they lie between $0$ and $1$.

The fractions $\frac{6}{5}$ and $\frac{7}{5}$ greater than $1$ and less than $2$. So, they lie between $1$ and $2$.

Step 2: Mark the integers between which the fractions will lie on the number line

Draw a number line and mark the points $0$ , $1$ and $2$ on it.

Step 3: Divide the length between the integers into parts equal to the denominator of fractions

A fraction represents a part of a whole where the part is represented as the numerator and the whole is represented as the denominator.

In the given fractions, the denominator is $5$. That means the total number of parts are $5$.

So, divide the length between $0$ and $1$ into $5$ equal parts.

Similarly, divide the length between $1$ and $2$ into $5$ equal parts.

Step 4: Represent the given fractions on the number line according to the numerator of the fractions

$\frac{4}{5}$ means $1$ part out of $5$ equal parts between $0$ and $1$.

Similarly, $\frac{6}{5}$ means $6$ parts between $0$ and $2$ where the length between $0-1$ and $1-2$ is divided into $3$ equal parts each.

Hence, we can represent $\frac{4}{5}$, $\frac{6}{5}$, $\frac{7}{5}$ and $\frac{3}{5}$ on the number line as: