Draw the number line and represent the following rational numbers on it:
(i) $\frac{3}{4}$ (ii) $\frac{- 5}{8}$ (iii) $\frac{- 7}{4}$ (iv) $\frac{7}{8}$

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Solution

(i) $\frac{3}{4}$
This fraction represents $3$ parts out of $4$ equal parts. Therefore, each space between two integers on number line must be divided into $4$ equal parts.
$\frac{3}{4}$ can be represented as
(ii) $\frac{- 5}{8}$
This fraction represents $5$ parts out of $8$ equal parts. Negative sign represents that it is on the negative side of number line. Therefore, each space between two integers on number line must be divided into $8$ equal parts.
$\frac{- 5}{8}$ can be represented as
(iii) $\frac{- 7}{4} = - 1 \frac{3}{4}$
This fraction represents $1$ full part and $3$ parts out of $4$ equal parts. Negative sign represents that it is on the negative side of number line. Therefore, each space between two integers on number line must be divided into $4$ equal parts.
$\frac{- 7}{4}$ can be represented as

(iv) $\frac{7}{8}$
This fraction represents $7$ parts out of $8$ equal parts. Therefore, each space between two integers on number line must be divided into $8$ equal parts.
$\frac{7}{8}$ can be represented as

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Question 4 (ii)

Draw the number line and represent the following rational number on it:
$\frac{- 5}{8}$

\frac{2}{3}

\frac{3}{4}

\frac{3}{8}

\frac{- 5}{8}

\frac{- 3}{16}

\frac{- 7}{3}

\frac{22}{- 7}

\frac{- 31}{3}

Question 4 (iv)

Draw the number line and represent the following rational number on it:
$\frac{7}{8}$

Represent the following rational numbers on a number line.

$\frac{3}{8}, \frac{- 7}{8}, \frac{22}{- 6}$

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