Express the following rational numbers as decimals:
(i) $\frac{2}{3}$
(ii) $-\frac{4}{9}$
(iii) $\frac{-2}{15}$
(iv) $-\frac{22}{13}$
(v) $\frac{437}{999}$
(vi) $\frac{33}{26}$
(i) Given rational number is
Now we have to express this rational number in decimal form. So we will use the long division method
Therefore $\frac{2}{3}=0.6666$
$\Rightarrow \frac{2}{3}=0 . \overline{6}$
Hence, $\frac{2}{3}=0 . \overline{6}$
(ii) Given rational number is
Now we have to express this rational number into decimal form. So we will use long division method
Therefore, $\frac{4}{9}=0.444$
$\Rightarrow-\frac{4}{9}=-0 . \overline{4}$
Hence, $-\frac{4}{9}=-0 . \overline{4}$
(iii) Given rational number is
Now we have to express this rational number into decimal form. So we will use long division method
Therefore $\frac{2}{15}=0.1333$
$\Rightarrow \frac{2}{15}=0.1 \overline{3}$
Hence, $-\frac{2}{15}-0.1 \overline{3}$
(iv) Given rational number is
Now we have to express this rational number into decimal form. So we will use long division method
Therefore $\frac{22}{13}=1.692307 \ldots$
$\Rightarrow \frac{22}{13}=1 . \overline{692307}$
Hence, $-\frac{22}{13}=-1 . \overline{692307}$
(v) Given rational number is
Now we have to express this rational number into decimal form. So we will use long division method
$\Rightarrow \frac{437}{999}=0 . \overline{437}$
Hence, $\frac{437}{999}=0 . \overline{437}$
(vi) Given rational number is
Now we have to express this rational number into decimal form. So we will use long division method
Therefore $\frac{33}{26}=1.2 \overline{692307} \ldots$
Hence, $\frac{33}{26}=1.2 \overline{692307}$