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
$$\frac{{11}}{{17}},\frac{{7}}{{11}},\frac{{5}}{{9}},\frac{{8}}{{15}}$$
Correct Answer: $$\frac{{11}}{{17}},\frac{{7}}{{11}},\frac{{5}}{{9}},\frac{{8}}{{15}}$$
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, $$\frac{11}{17}$$ > $$\frac{7}{11}$$ > $$\frac{5}{9}$$ > $$\frac{8}{15}$$
