Question

given the proportion a/b = 8/15, what ratio completes the equivalent proportion a/8 = ?

the answer is b/15 , but how do you get it?

Answer 1

\[\frac{ a }{ b }=\frac{ 8 }{ 15 }\]First multiply b on both sides\[\frac{ a }{ b }~\times~b=\frac{ 8 }{ 15 }~\times~b\]\[a=\frac{ 8b }{ 15 }\]Then divide 8 on both sides \[a~\div~8=\frac{ 8b }{ 15 }~\div~8\]\[\frac{ a }{ 8 }=\frac{ b }{ 15 }\]

Answer 2

@MARC_ Thank you so much!

Answer 3

yw!