Question

Rewrite the expression as a sum of two fractions, and simplify. 18x+35/x

Answer 1

18x/x+35/x=18+35/x

Explanation:

Answer 2

`(18x^2+35)/(x)` is the sum of fractions
`18x+(35)/(x)`.

Explanation:

Given sum of expressions
`18x+(35)/(x) .`.

In order to add the fractions, we always find the common denominators.

18x could be written as
`(18x)/(1)` in a fraction form.

So,
`18x+(35)/(x) =(18x)/(1)+(35)/(x) .`

Now, we can see that denominators of two fractions are, 1 and x.

The least common denominator of 1 and x would be x.

So, we need to multiply
`(18x)/(1)` fraction by x in top and bottom.

`(18x*x)/(1*x)` =
`(18x^2)/(x)`

`(18x)/(1)+(35)/(x)` would become
`(18x^2)/(x)+(35)/(x)`.

Adding numerators, we get

`(18x^2+35)/(x)`

Therefore,
`(18x^2+35)/(x)` is the sum of fractions
`18x+(35)/(x)`.