Replace '$\boxed{\phantom{653}}$' by an appropriate sign '< , = or >' between the given fractions:

(i) $\dfrac{1}{2} \boxed{\phantom{653}} \dfrac{1}{5}$

(ii) $\dfrac{2}{4} \boxed{\phantom{653}} \dfrac{3}{6}$

(iii) $\dfrac{7}{9} \boxed{\phantom{653}} \dfrac{3}{9}$

(iv) $\dfrac{3}{4} \boxed{\phantom{653}} \dfrac{2}{8}$

(i) $\dfrac{1}{2}$ and $\dfrac{1}{5}$

These are unlike fractions with same numerator 1.

In fractions with same numerator, the fraction with smaller denominator is greater.

Since 2 < 5, therefore, $\dfrac{1}{2} \gt \dfrac{1}{5}$.

Hence, $\dfrac{1}{2} \gt \dfrac{1}{5}$.

(ii) $\dfrac{2}{4}$ and $\dfrac{3}{6}$

By cross multiplication,

2 × 6 = 12 and 4 × 3 = 12

The cross products are equal.

Hence, $\dfrac{2}{4} = \dfrac{3}{6}$.

(iii) $\dfrac{7}{9}$ and $\dfrac{3}{9}$

These are like fractions (same denominator 9).

In like fractions, the fraction with greater numerator is greater.

Since 7 > 3, therefore, $\dfrac{7}{9} \gt \dfrac{3}{9}$.

Hence, $\dfrac{7}{9} \gt \dfrac{3}{9}$.

(iv) $\dfrac{3}{4}$ and $\dfrac{2}{8}$

By cross multiplication,

3 × 8 = 24 and 4 × 2 = 8

Since 24 > 8, therefore, $\dfrac{3}{4} \gt \dfrac{2}{8}$.

Hence, $\dfrac{3}{4} \gt \dfrac{2}{8}$.