Question

Given the proportion a/b=8/15, what ratio completes the equivalent proportion a/8=? (IMAGE ATTACHED)

Answer 1

Answer: b/15

Step-by-step explanation: The initial equation is

`(a)/(b) = (8)/(15)\\`

Multiply both sides by b, we get:

`(ab)/(b) = (8b)/(15)`

which cancels to:

`(a)/(1) = (b)/(15)`

Then divide both sides by 8 and you get:

`frac{a}{8} = (b)/(15)`

so:

`(a)/(8) = (b)/(15)`

Answer 2

The equation "a/b = 8/15" means that the ratio of a to b is equal to the ratio of 8 to 15.

To find the value of b, we can use the cross multiplication property of ratios, which states that if two ratios are equal, then the products of the opposite terms are also equal. In this case, if a/b = 8/15, then we can multiply both sides of the equation by 15 to get 15a = 8b.

Next, we divide both sides of the equation by 8 to isolate b on one side of the equation. So, b = 15a/8. This means that the value of b can be determined by dividing the value of a by 8 and multiplying it by 15.