Question

Write the following rational numbers in decimal form.

(i) $\frac{13}{4}$

(ii) $\frac{-7}{8}$

(iii) $7\frac{3}{5}$

(iv) $\frac{5}{12}$

(v) $\frac{22}{7}$

(vi) $\frac{4}{3}$

(vii) $\frac{7}{9}$

Answer 1

(i) The given number is $\frac{13}{4}$.


$\therefore \frac{13}{4}=3.25$
The decimal form of $\frac{13}{4}$ is 3.25.
(ii) The given number is $-\frac{7}{8}$.

$\therefore \frac{7}{8}=0.875$
The decimal form of $-\frac{7}{8}$ is − 0.875.
(iii) The given number is $7\frac{3}{5}$.
$7\frac{3}{5}=\frac{7\times 5+3}{5}=\frac{35+3}{5}=\frac{38}{5}$

$\therefore \frac{38}{5}=7.6$
The decimal form of $7\frac{3}{5}$ is 7.6.
(v) The given number is $\frac{22}{7}$.

$\therefore \frac{22}{7}=3.142857142857....=3.\overline{142857}$
The decimal form of $\frac{22}{7}$ is $3.\overline{142857}$.
(vi) The given number is $\frac{4}{3}$.

$\therefore \frac{4}{3}=1.33....=1.\overline{3}$
The decimal form of $\frac{4}{3}$ is $1.\overline{3}$.
(vii) The given number is $\frac{7}{9}$.

$\therefore \frac{7}{9}=0.77....=0.\overline{7}$
The decimal form of $\frac{7}{9}$ is $0.\overline{7}$.