Which of the following fraction is the smallest ?
$$\frac{8}{{15}},$$ $$\frac{{14}}{{33}},$$ $$\frac{7}{{13}},$$ $$\frac{{11}}{{13}}$$

A. $$\frac{{8}}{{15}}$$

B. $$\frac{{14}}{{33}}$$

C. $$\frac{{7}}{{13}}$$

D. $$\frac{{11}}{{13}}$$

Answer: Option B

Solution(By Examveda Team)

$$\frac{8}{{15}},\frac{{14}}{{33}},\frac{7}{{13}},\frac{{11}}{{13}}$$

(264)	,	(210)
↑		↑
$$\frac{8}{{15}}$$	⤩	$$\frac{14}{{33}}$$	= $$\frac{8}{{15}}$$ > $$\frac{14}{{33}}$$
(182)	,	(231)
↑		↑
$$\frac{14}{{33}}$$	⤩	$$\frac{7}{{13}}$$	= $$\frac{14}{{33}}$$ < $$\frac{7}{{13}}$$ < $$\frac{11}{{13}}$$

$${\text{So}}\frac{{14}}{{33}}\,{\text{is}}\,{\text{smallest}}$$