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

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Answer 1 · 2017-12-21T09:50:06

#(3h^2+h+1)/h#

#"we require the two terms to have a "color(blue)"common denominator"#

#rArr(3h)/1xxh/h+(1+h)/h#

#=(3h^2)/h+(1+h)/h#

#=(3h^2+h+1)/h#

Answer 2 · 2017-12-21T09:53:04

#color(blue)[(3h^2+h+1)/h)#

We are given the mixed expression:

#color(red)(3h+(1+h)/h)#

We need to convert this mixed expression into a rational expression

We note that the common denominator for both the terms is #color(red)h#

Hence, the given mixed expression becomes

#color(red)[(3h^2+1+h)/h)#

Hence,

#color(blue)[(3h^2+h+1)/h)#

is the required rational expression

Hope this helps.