which of the following ratio is greatest and which is the least ?1:2, 4:5, 3:4

Dear Student,

Please find below the solution to the asked query:

Given  : Ratio 1 : 2 , 4 : 5 and 3 : 4

Here  ,  LCM  (  2 , 5 and 4 ) =  20  , So

$$\begin{gathered} \Rightarrow \frac{1}{2} \times \frac{10}{10} = \frac{10}{20} , \\ \Rightarrow \frac{4}{5} \times \frac{4}{4} = \frac{16}{20} \\ \mathrm{And} \\ \Rightarrow \frac{3}{4} \times \frac{5}{5} = \frac{15}{20} \end{gathered}$$
Therefore,

Greatest ratio = 4 : 5 and least ratio   =  1 : 2                                                      ( Ans )


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