Question : Which fraction among $\frac{3}{7}$, $\frac{5}{11}$ and $\frac{6}{13}$ is the largest?
Option 1: $\frac{3}{7}$
Option 2: $\frac{5}{11}$
Option 3: $\frac{6}{13}$
Option 4: All are equal
Correct Answer: $\frac{6}{13}$
Solution :
Given fractions are $\frac{3}{7}$, $\frac{5}{11}$, $\frac{6}{13}$
Approximate values are:
$\frac{3}{7}$ $\approx$ 0.43
$\frac{5}{11}$ $\approx$ 0.45
$\frac{6}{13}$ $\approx$ 0.46
By comparing the approximate values we get,
$\frac{6}{13}$ is the largest.
Hence, the correct answer is $\frac{6}{13}$.
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