Question

Write the following rational numbers in decimal form.
(1) $\frac{9}{37}$

(2) $\frac{18}{42}$

(3) $\frac{9}{14}$

(4) $\frac{-103}{5}$

(5) −$\frac{11}{13}$

Answer 1

(1) The given number is $\frac{9}{37}$.

∴ $\frac{9}{37}$ = 0.243243.... = $0.\overline{243}$
The decimal form of $\frac{9}{37}$ is $0.\overline{243}$.

(2) The given number is $\frac{18}{42}$.

∴ $\frac{18}{42}$ = 0.428571428571.... = $0.\overline{428571}$
The decimal form of $\frac{18}{42}$ is $0.\overline{428571}$.

(3) The given number is $\frac{9}{14}$.

∴ $\frac{9}{14}$ = 0.6428571428571.... = $0.6\overline{428571}$
The decimal form of $\frac{9}{14}$ is $0.6\overline{428571}$.

(4) The given number is $-\frac{103}{5}$.

∴ $\frac{103}{5}$ = 20.6
The decimal form of $-\frac{103}{5}$ is −20.6.

(5) The given number is $-\frac{11}{13}$.

∴ $\frac{11}{13}$ = 0.846153846153.... = $0.\overline{846153}$
The decimal form of $-\frac{11}{13}$ is $-0.\overline{846153}$.