Question

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

2 2 over 5
1 1 over 8
2 over 5
1 over 4

Answer 1

`b=(5)/(12)`

Explanation:

The given equation is

`(1)/(3b)=(4)/(5)`

hence by multiplying both sides by 3b we get that

`1=(12b)/(5)`

and so we multiply both sides by
`(5)/(12)` to get that

`b=(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...)