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Algebra/Rational Expressions with Like Denominators

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Question
t/3 + t-5/3

Answer
Hi Corey,

(t/3) + t - (5/3)

the common denominator is 3 in the first and third term.  Multiply the second term by 3/3 to get the denominator of 3 in that term.  Note that we can do this because 3/3 = 1, so we are not changing the value because anything multiplied by 1 is itself.

(t/3) + (3t/3) - (5/3)

since we have the same denominator in all three terms, we can add the numerators and put them over a single denominator.

(t + 3t - 5)/3
we can add t and 3t

(4t - 5)/3

That is the answer.  Let me know if you have any questions.

Bobby

Algebra

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Bobby Soltani

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I can help with all types of questions in algebra, geometry, trigonometry, and calculus. I can answer general physics questions. I can also help simplify and solve word problems.

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I have been a math and physics tutor in college for 3 years.

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