How do you write the mixed expression $6 + \frac{5}{t + 1}$ $6+5/(t+1)$ as a rational expression?

Question

1690 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-10-02T01:02:59

See below.

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:

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

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

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

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

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

$\frac{6 t + 11}{t + 1}$ $(6t+11)/(t+1)$

I hope that helps!

How do you write the mixed expression 6+5t+16+5/(t+1) as a rational expression?