Question

1 over 3b = 4 over 5. which of the following equals b in this equation?

Answer 1

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

$b=\dfrac{5}{12}$

Answer 2

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...)