Which of the following is a false statement?

1. $\dfrac{1}{7} \lt \dfrac{3}{14}$

2. $\dfrac{5}{8} = \dfrac{15}{24}$

3. $\dfrac{3}{4} = \dfrac{6}{16}$

4. $\dfrac{5}{12} \gt \dfrac{2}{6}$

Check each option:

1. Cross multiplication: 1 × 14 = 14 and 7 × 3 = 21. Since 14 < 21, $\dfrac{1}{7} \lt \dfrac{3}{14}$. True.

2. Cross multiplication: 5 × 24 = 120 and 8 × 15 = 120. Equal, so $\dfrac{5}{8} = \dfrac{15}{24}$. True.

3. Cross multiplication: 3 × 16 = 48 and 4 × 6 = 24. Not equal, so $\dfrac{3}{4} \neq \dfrac{6}{16}$. False.

4. Cross multiplication: 5 × 6 = 30 and 12 × 2 = 24. Since 30 > 24, $\dfrac{5}{12} \gt \dfrac{2}{6}$. True.

Hence, option 3 is the correct option.