Question

Is the unit rate 2/1 is equivalent to the ratio 4/6:9/12

Answer 1

`\cfrac{2}{1}~~ = ~~\cfrac{~~ ( 4 )/( 6 ) ~~}{(9)/(12)} ~~ \text{\huge ?} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{~~ ( 4 )/( 6 ) ~~}{(9)/(12)}\implies \cfrac{ 4 }{ 6 }\cdot \cfrac{12}{9}\implies \cfrac{2}{3}\cdot \cfrac{4}{3}\implies \cfrac{8}{9}~~ \\e ~~\cfrac{2}{1} ~~ \bigotimes`