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

Dec 21, 2017

$\frac{3 {h}^{2} + h + 1}{h}$

#### Explanation:

$\text{we require the two terms to have a "color(blue)"common denominator}$

$\Rightarrow \frac{3 h}{1} \times \frac{h}{h} + \frac{1 + h}{h}$

$= \frac{3 {h}^{2}}{h} + \frac{1 + h}{h}$

$= \frac{3 {h}^{2} + h + 1}{h}$

Dec 21, 2017

$\textcolor{b l u e}{\frac{3 {h}^{2} + h + 1}{h}}$

#### Explanation:

We are given the mixed expression:

$\textcolor{red}{3 h + \frac{1 + h}{h}}$

We need to convert this mixed expression into a rational expression

We note that the common denominator for both the terms is $\textcolor{red}{h}$

Hence, the given mixed expression becomes

$\textcolor{red}{\frac{3 {h}^{2} + 1 + h}{h}}$

Hence,

$\textcolor{b l u e}{\frac{3 {h}^{2} + h + 1}{h}}$

is the required rational expression

Hope this helps.