Question

Given the proportion a/b =8/15, what ratio completes the equivalent proportion a/8=?

Answer 1

`The\ ratio\ completes\ the\ equivalent\ proportion\ (a)/(8)= (b)/(15).`

Explanation:

As given the proporation equation in question be as follows .

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

Thus

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

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

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

`Therefore\ the\ ratio\ completes\ the\ equivalent\ proportion\ (a)/(8)= (b)/(15).`

Answer 2

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

Explanation:

Given: The proportion
`(a)/(b)=(8)/(15)`.

To find: what ratio completes the equivalent proportion
`(a)/(8)`.

Solution: The given proportion is:

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

Multiplying b on both the sides of the given proportion, we have

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

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

Now, dividing by 8 on both sides, we get

`(a)/(8)=(8b)/(15){*}(1)/(8)`

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

which is the required equivalent proportion.