Find the reciprocal of :

(i) $\dfrac{5}{9}$

(ii) $\dfrac{7}{13}$

(iii) 8

(iv) $\dfrac{1}{5}$

(v) $3\dfrac{2}{5}$

(vi) $8\dfrac{1}{9}$

(vii) $5\dfrac{3}{8}$

(viii) 23

The reciprocal of a non-zero fraction is a fraction obtained by swapping its numerator and denominator, so that their product is 1.

(i) $\dfrac{5}{9}$

Hence, the reciprocal of $\dfrac{5}{9} = \dfrac{9}{5}$.

(ii) $\dfrac{7}{13}$

Hence, the reciprocal of $\dfrac{7}{13} = \dfrac{13}{7}$.

(iii) $8$

Hence, the reciprocal of $8 = \dfrac{1}{8}$.

(iv) $\dfrac{1}{5}$

Hence, the reciprocal of $\dfrac{1}{5} = \dfrac{5}{1} = 5$.

(v) $3\dfrac{2}{5}$

$\Rightarrow \dfrac{17}{5}$

Hence, the reciprocal of $\dfrac{17}{5} = \dfrac{5}{17}$.

(vi) $8\dfrac{1}{9}$

$\Rightarrow \dfrac{73}{9}$

Hence, the reciprocal of $\dfrac{73}{9} = \dfrac{9}{73}$.

(vii) $5\dfrac{3}{8}$

$\Rightarrow \dfrac{43}{8}$

Hence, the reciprocal of $\dfrac{43}{8} = \dfrac{8}{43}$.

(viii) 23

Hence, the reciprocal of $23 = \dfrac{23}{1} = \dfrac{1}{23}$.