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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...)

presipao

Answer:

\(b=\dfrac{5}{12}\)

Step-by-step explanation:

The given equation is

\(\dfrac{1}{3b}=\dfrac{4}{5}\)

hence by multiplying both sides by 3b we get that

\(1=\dfrac{12b}{5}\)

and so we multiply both sides by  \(\dfrac{5}{12}\)  to get that

\(b=\dfrac{5}{12}\)

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