Prove: (a)/(b) = \frac{c}{d}[/tex], then(a+b)/(b) = (c+d)/(d). show work pls :)

Question

Prove:
`(a)/(b)` = \frac{c}{d}[/tex], then
`(a+b)/(b) = (c+d)/(d)`. show work pls :)

Answer 1

Explanation:

`(a)/(b) = (c)/(d)`

Add 1 to both sides of the equation:

`(a)/(b) + 1 = (c)/(d) + 1`

Note that

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

Likewise,

`(c)/(d) + 1 = (c + d)/(d)`

Therefore,

`(a + b)/(b) = (c + d)/(d)`