Question : Which of the following is the lowest ratio?
Option 1: 8 : 19
Option 2: 15 : 38
Option 3: 17 : 38
Option 4: 13 : 19
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Correct Answer: 15 : 38
Solution :
Here, the LCM of the denominators of all the options is 38.
So, $\frac{8}{19} = \frac{8×2}{19\times 2}=\frac{16}{38}$
$ \frac{15}{38} $, $ \frac{17}{38}$
$ \frac{13}{19}= \frac{13×2}{19\times 2}=\frac{26}{38}$
$\therefore$ 15 : 38 is the lowest ratio.
Hence, the correct answer is 15 : 38.
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