Question

Find equivalent ratio for 18:27 = 16:_

Answer 1

the answer would be 24

Answer 2

`1)\ \ \ (18)/(27) = (18:9)/(27:9) = (2)/(3) = (2\cdot 8)/(3\cdot 8) = (16)/(24)\\\\or\\\\2)\ \ \ 18:27=16:x\ \ \ \Leftrightarrow\ \ \ (18)/(27)= (16)/(x) \ \ \ \Leftrightarrow\ \ \ 18\cdot x=27\cdot16\ /:18\\\\x= \frac{\big{27\cdot16}}{\big{18}} \ \ \ \Rightarrow\ \ \ x= \frac{\big{9\cdot3\cdot2\cdot8}}{\big{9\cdot2}} \ \ \ \Rightarrow\ \ \ x=3\cdot8 \ \ \ \Rightarrow\ \ \ x=24\\\\\\Ans.\ \ 24`