Question
Which of the following is the smallest fraction ? $$\frac{8}{{25}},$$ $$\frac{7}{{23}},$$ $$\frac{{11}}{{23}},$$ $$\frac{{14}}{{53}}$$
Answer: Option D $$\frac{8}{{25}},\frac{7}{{23}},\frac{{11}}{{23}},\frac{{14}}{{53}}$$
(184)
,
(175)
↑
↑
$$\frac{{8}}{{25}}$$
⤩
$$\frac{{7}}{{23}}$$
= $$\frac{{8}}{{25}}$$ > $$\frac{{7}}{{23}}$$
(371)
,
(322)
↑
↑
$$\frac{{7}}{{23}}$$
⤩
$$\frac{{14}}{{53}}$$
= $$\frac{{7}}{{23}}$$ > $$\frac{{14}}{{53}}$$
$${\text{So}}\frac{{14}}{{53}}\,{\text{is smallest}}$$
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