Question

If a:b=5/4:7/2 and b:c=1/4:1:5, find a:c

Answer 1

5/4:1/5
not sure about it

Answer 2

$Given, \: \\ \\ a : b \: = \frac{5}{4} : \frac{7}{2} \\ \\ b : c \: = \frac{1}{4} : \frac{1}{5}$



$Now, \\ \\ a : b \: = \frac{5}{4} : \frac{7}{2} \\ \\ = > \frac{a}{b} = \frac{ \frac{5}{4} }{ \frac{7}{2} } \\ \\ = > \frac{a}{b} = \frac{5}{4} \times \frac{2}{7} \\ \\ = > \frac{a}{b} = \frac{5}{14} - - - - - - > (1)\\ \\ \\ b : c = \frac{1}{4} : \frac{1}{5} \\ \\ = > \frac{b}{c} = \frac{ \frac{1}{4} }{ \frac{1}{5} } \\ \\ = > \frac{b}{c} = \frac{1}{4} \times \frac{5}{1} \\ \\ = > \frac{b}{c} = \frac{5}{4} - - - - - - > (2) \\ \\ \\ (1) \times (2) = > \frac{a}{b} \times \frac{b}{c} = \frac{5}{14} \times \frac{5}{4} \\ \\ = > \frac{a}{c} = \frac{25}{56} \\ \\ = > a : c \: = 25 : 56$