State whether the following statements are true (T) or false (F):

(i) Two fractions with same numerator are called like fractions.

(ii) A fraction in which the numerator is greater than its denominator is called an improper fraction.

(iii) Every improper fraction can be converted into a mixed fraction.

(iv) Every fraction can be represented by a point on a number line.

(v) In two unlike fractions with same numerator, the fraction having greater denominator is greater.

(vi) $\dfrac{1}{2}, \dfrac{1}{3}$ and $\dfrac{1}{4}$ are like fractions.

(i) False.

Reason: Two fractions with same denominator are called like fractions, not same numerator.

(ii) True.

Reason: A fraction in which the numerator is greater than (or equal to) its denominator is called an improper fraction.

(iii) True.

Reason: Every improper fraction can be converted into a mixed fraction by dividing the numerator by the denominator.

(iv) True.

Reason: Every fraction has a unique position on the number line.

(v) False.

Reason: In two unlike fractions with same numerator, the fraction having smaller denominator is greater (not greater denominator).

(vi) False.

Reason: $\dfrac{1}{2}, \dfrac{1}{3}$ and $\dfrac{1}{4}$ have different denominators (2, 3, 4), so they are unlike fractions, not like fractions.