# How do you write the mixed expression 6+5/(t+1) as a rational expression?

Oct 2, 2017

See below.

#### Explanation:

In order to convert the given expression into a rational expression, we have to combine the two terms using common denominators.

Let's begin like this:

$6 + \frac{5}{t + 1}$

$\frac{6 \left(t + 1\right)}{t + 1} + \frac{5}{t + 1}$

Now that we have common denominators of $t + 1$ in both terms of the expression, we can add them together.

$\frac{6 \left(t + 1\right)}{t + 1} + \frac{5}{t + 1}$

$\frac{6 t + 6}{t + 1} + \frac{5}{t + 1}$

$\frac{6 t + 11}{t + 1}$

I hope that helps!