Question

Which expression is equivalent to the following complex fraction?
2-1/y / 3+ 1/y​

Answer 1

d) 2y-1 / 3y+1

Explanation:

just took the quiz on edge

Answer 2

`(2-(1)/(y) )/(3+(1)/(y) )` is equivalent to
`(2y-1)/(3y-1)`

Explanation:

The given expression is :
`(2-(1)/(y) )/(3+(1)/(y) )`.

We collect LCM in both the numerator and the denominator to obtain:

`((2y-1)/(y) )/((3y-1)/(y) )`

Change to the normal division sign;

`(2y-1)/(y) / (3y-1)/(y)`

Multiply by the reciprocal of the second fraction:

`(2y-1)/(y) * (y)/(3y-1)`

Cancel out the common factors

`(2y-1)/(3y-1)`

Therefore
`(2-(1)/(y) )/(3+(1)/(y) )` is equivalent to
`(2y-1)/(3y-1)`