Question : Which fraction among the following is the least? $\frac{5}{11}, \frac{7}{12}, \frac{8}{13}, \frac{9}{17}$
Option 1: $\frac{5}{11}$
Option 2: $\frac{7}{12}$
Option 3: $\frac{9}{17}$
Option 4: $\frac{8}{13}$
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Correct Answer: $\frac{5}{11}$
Solution : Given: The fractions are $\frac{5}{11}, \frac{7}{12}, \frac{8}{13}, \frac{9}{17}$. Determine which fraction is the smallest by converting the fractions to decimals. $\frac{5}{11}=0.4545, \frac{7}{12}=0.5833, \frac{8}{13}=0.6153, \frac{9}{17}=0.5294$ So, $\frac{5}{11}$ is the least fraction. Hence, the correct answer is $\frac{5}{11}$.
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