Which of the following is the smallest fraction ? $$\frac{8}{{25}},$$ $$\frac{7}{{23}},$$ $$\frac{{11}}{{23}},$$ $$\frac{{14}}{{53}}$$

A. $$\frac{{8}}{{25}}$$

B. $$\frac{{7}}{{23}}$$

C. $$\frac{{11}}{{23}}$$

D. $$\frac{{14}}{{53}}$$

Answer: Option D

Solution(By Examveda Team)

$$\frac{8}{{25}},\frac{7}{{23}},\frac{{11}}{{23}},\frac{{14}}{{53}}$$

(184)	,	(175)
↑		↑
$$\frac{{8}}{{25}}$$	⤩	$$\frac{{7}}{{23}}$$	= $$\frac{{8}}{{25}}$$ > $$\frac{{7}}{{23}}$$
(371)	,	(322)
↑		↑
$$\frac{{7}}{{23}}$$	⤩	$$\frac{{14}}{{53}}$$	= $$\frac{{7}}{{23}}$$ > $$\frac{{14}}{{53}}$$

$${\text{So}}\frac{{14}}{{53}}\,{\text{is smallest}}$$