Respuesta :

irspow
1/(3b)=4/5  multiply both sides by 5

5/(3b)=4 multiply both sides by 3b

5=12b divide both sides by 12

b=5/12  (not sure why you don't have that as an option in your answers, perhaps I misunderstood your description of the original equation...)

Answer:

[tex]b=\dfrac{5}{12}[/tex]

Step-by-step explanation:

The given equation is

[tex]\dfrac{1}{3b}=\dfrac{4}{5}[/tex]

hence by multiplying both sides by 3b we get that

[tex]1=\dfrac{12b}{5}[/tex]

and so we multiply both sides by  [tex]\dfrac{5}{12}[/tex]  to get that

[tex]b=\dfrac{5}{12}[/tex]