Question

Mark the fractions on the number line.

$\frac{9}{8}$

Answer 1

The given fraction $\frac{9}{8}$is an improper fraction. An improper fraction is represented on a number line by first converting it into mixed form. The mixed form then itself is represented on the number line. Thus, to represent $\frac{9}{8}$ on the number line we can use the following steps.

Step $1$: Converting $\frac{9}{8}$ into mixed form.

To convert $\frac{9}{8}$into the mixed form we divide $9$(dividend) by $8$(divisor) and write the result as: $Quotient\frac{Remainder}{Divisor}$ .

First dividing $9$ by $8$, we have

$8198--1$

Therefore, $\frac{9}{8}=1\frac{1}{8}$.

Step $2$: Representing $1\frac{1}{8}$on the number line.

Since, $1\frac{1}{8}$ lies between $1$and $2$. Therefore, dividing the number line between $1$and $2$ into as many equal parts as the denominator of the fraction and moving as many steps forward from $1$as the numerator of $\frac{1}{8}$. Thus here, dividing the number line between $1$and $2$ into $8$ equal parts and moving one step forward from $1$. We obtain the final graph as: