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Which of the following are in descending order of their values ?

A. $$\frac{{5}}{{9}},\frac{{7}}{{11}},\frac{{8}}{{15}},\frac{{11}}{{17}}$$

B. $$\frac{{5}}{{9}},\frac{{8}}{{15}},\frac{{11}}{{17}},\frac{{7}}{{11}}$$

C. $$\frac{{11}}{{17}},\frac{{7}}{{11}},\frac{{8}}{{15}},\frac{{5}}{{9}}$$

D. $$\frac{{11}}{{17}},\frac{{7}}{{11}},\frac{{5}}{{9}},\frac{{8}}{{15}}$$

Answer: Option D

Solution(By Examveda Team)

Converting each of the given fractions in to decimal form, we get
$$\frac{5}{9}$$ = 0.55
$$\frac{7}{11}$$ = 0.63
$$\frac{8}{15}$$ = 0.533
$$\frac{11}{17}$$ = 0.647
Clearly, 0.647 > 0.63 > 0.55 > 0.533
So, $$\frac{11}{17}$$ > $$\frac{7}{11}$$ > $$\frac{5}{9}$$ > $$\frac{8}{15}$$

This Question Belongs to Arithmetic Ability >> Decimal Fraction

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