A) \[\frac{7}{4}\]
B) \[\frac{7}{6}\]
C) \[\frac{7}{3}\]
D) \[\frac{4}{5}\]
Correct Answer: B
Solution :
Given, \[\frac{a}{b}\times \frac{c}{d}=\frac{14}{15}\] ?(i) \[\frac{a}{b}\times \frac{d}{c}=\frac{35}{24}\] ?(ii) New multiplying both the equations, \[\frac{ac}{ad}\times \frac{ad}{bc}=\frac{14}{15}\times \frac{35}{24}\] \[\Rightarrow \] \[\frac{{{a}^{2}}}{{{b}^{2}}}=\frac{49}{36}\Rightarrow \frac{a}{b}=\frac{7}{6}\] \[\therefore \] \[\frac{c}{d}=\frac{\frac{14}{15}}{\frac{7}{6}}=\frac{4}{5}\] But the greater fraction is \[\frac{7}{6}.\]
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