Question

Mark the fractions on the number line and compare them.

$\frac{3}{9}$ and $\frac{5}{8}$

Answer 1

The given fractions are $\frac{3}{9}$ and $\frac{5}{8}$ . The graphs of these fractions can be marked using following steps:

Step $1:$ Marking $\frac{3}{9}$ on the number line:

Since, $\frac{3}{9}$ is a proper fraction whose value lies between $0$and $1$. To represent a proper fraction on a number line, we divide the number line between $0$ and $1$ into as many parts as the denominator of the fraction. Next, to mark the required fraction on the number line, move as many steps forward from $0$ as the numerator of the fraction.

So, dividing the number line between $0$ and $1$ into nine equal parts and moving three steps forward from $0$ to mark the fraction $\frac{3}{9}$ on the number line.

Step $2:$ Marking $\frac{5}{8}$ on the number line:

Again, $\frac{5}{8}$ is a proper fraction whose value lies between $0$ and $1$. Therefore, dividing the number line between $0$ and $1$ into eight equal parts and moving five steps forward from $0$ to mark the fraction $\frac{5}{8}$ on the number line.. We obtain the final graph as:

Comparing the two fractions $\frac{3}{9}$ and $\frac{5}{8}$ on the above number line, we get

Therefore, $\frac{3}{9}$$<$$\frac{5}{8}$