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Which of the following fraction is the smallest ?
$$\frac{8}{{15}},$$ $$\frac{{14}}{{33}},$$ $$\frac{7}{{13}},$$ $$\frac{{11}}{{13}}$$
Options:
A .  $$\frac{{8}}{{15}}$$
B .  $$\frac{{14}}{{33}}$$
C .  $$\frac{{7}}{{13}}$$
D .  $$\frac{{11}}{{13}}$$
Answer: Option B
$$\frac{8}{{15}},\frac{{14}}{{33}},\frac{7}{{13}},\frac{{11}}{{13}}$$
(264)
,
(210)
 

 

 
$$\frac{8}{{15}}$$
  ⤩  
$$\frac{14}{{33}}$$
 = $$\frac{8}{{15}}$$ > $$\frac{14}{{33}}$$
(182)
,
(231)
 

 

 
$$\frac{14}{{33}}$$
  ⤩  
$$\frac{7}{{13}}$$
 = $$\frac{14}{{33}}$$ < $$\frac{7}{{13}}$$ < $$\frac{11}{{13}}$$
$${\text{So}}\frac{{14}}{{33}}\,{\text{is}}\,{\text{smallest}}$$

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