Convert the following improper fractions into mixed numbers:

(i) $\dfrac{17}{3}$

(ii) $\dfrac{119}{15}$

(iii) $\dfrac{961}{13}$

(iv) $\dfrac{117}{32}$

(i) $\dfrac{17}{3}$

Dividing 17 by 3, we get quotient = 5 and remainder = 2.

$\Rightarrow \dfrac{17}{3} = 5\dfrac{2}{3}.$

Hence, $\dfrac{17}{3} = 5\dfrac{2}{3}$.

(ii) $\dfrac{119}{15}$

Dividing 119 by 15, we get quotient = 7 and remainder = 14.

$\Rightarrow \dfrac{119}{15} = 7\dfrac{14}{15}.$

Hence, $\dfrac{119}{15} = 7\dfrac{14}{15}$.

(iii) $\dfrac{961}{13}$

Dividing 961 by 13, we get quotient = 73 and remainder = 12.

$\Rightarrow \dfrac{961}{13} = 73\dfrac{12}{13}.$

Hence, $\dfrac{961}{13} = 73\dfrac{12}{13}$.

(iv) $\dfrac{117}{32}$

Dividing 117 by 32, we get quotient = 3 and remainder = 21.

$\Rightarrow \dfrac{117}{32} = 3\dfrac{21}{32}.$

Hence, $\dfrac{117}{32} = 3\dfrac{21}{32}$.