A) \[\frac{2}{3},\]\[\frac{5}{6},\]\[\frac{16}{25}\]and \[\frac{3}{7}\]
B) \[\frac{16}{25},\]\[\frac{5}{6},\]\[\frac{3}{7}\]and \[\frac{2}{3}\]
C) \[\frac{3}{7},\]\[\frac{16}{25},\]\[\frac{2}{3}\]and \[\frac{5}{6}\]
D) None of these
Correct Answer: C
Solution :
First, we convert each of the fraction in decimal form so here, \[\frac{2}{3}=0.\overline{666},\]\[\frac{5}{6}=0.8\overline{33},\]\[\frac{16}{25}=0.64,\] \[\frac{3}{7}=0.\overline{428571}\] Here,\[0.\overline{428571}<0.64<0.\overline{666}<0.\overline{8333}\] Here, \[\frac{3}{7}<\frac{16}{25}<\frac{2}{3}<\frac{5}{6}\]and so \[\frac{3}{7},\]\[\frac{16}{25},\]\[\frac{2}{3}\]and \[\frac{5}{6}\] are in ascending order.
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