Question

How do you write the mixed expression `r+1/(3r)` as a rational expression?

Answer 1

`(3r^2+1)/(3r)`

Explanation:

`"before we can add the 2 fractions we require them to"`
`"have a "color(blue)"common denominator"`

`"to obtain this multiply the numerator/denominator of"`

`r" by "3r`

`rArrr/1xx(3r)/(3r)=(3r^2)/(3r)`

`rArrr+1/(3r)`

`=(3r^2)/(3r)+1/(3r)larrcolor(blue)"common denominator of 3r"`

`"add the numerators leaving the denominator as it is"`

`=(3r^2+1)/(3r)`