Which of the following set of fractions is in ascending order ?

$frac{{13}}{{15}},frac{{11}}{{13}},frac{7}{8},frac{8}{9}$

$frac{{11}}{{13}},frac{{13}}{{15}},frac{7}{8},frac{8}{9}$

$frac{8}{9},frac{7}{8},frac{{13}}{{15}},frac{{11}}{{13}}$

$frac{7}{8},frac{8}{9},frac{{11}}{{13}},frac{{13}}{{15}}$

None of these

Answer : Option B

Explanation :

Decimal equivalent of :

$frac{{13}}{{15}} = 0.87$

$frac{{11}}{{13}} = 0.85$

$frac{7}{8} = 0.875$

$frac{8}{9} = 0.89$

Clearly,

0.85 < 0.87 < 0.875 < 0.89

$herefore frac{{11}}{{13}} < frac{{13}}{{15}} < frac{7}{8} < frac{8}{9}$

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