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

Answer 1

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+ 5/(t+1)#

#(6(t+1))/(t+1) + 5/(t+1)#

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

#(6(t+1))/(t+1) + 5/(t+1)#

#(6t+6)/(t+1) + 5/(t+1)#

#(6t+11)/(t+1)#

I hope that helps!

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Answer 2

Eva Adamson

To write the mixed expression 6+5/(t+1) as a rational expression, we need to find a common denominator for the terms involved. The common denominator is (t+1). Multiplying the whole number 6 by (t+1)/(t+1), we get 6(t+1)/(t+1). Adding this to 5/(t+1), we have (6(t+1) + 5)/(t+1). Simplifying the numerator, we get (6t + 6 + 5)/(t+1), which can be further simplified to (6t + 11)/(t+1). Therefore, the rational expression equivalent to the mixed expression 6+5/(t+1) is (6t + 11)/(t+1).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.