Could you show me how to simplify the below? 1/a + b + 5/2(a + b) = 1 divided by a + b added to 5 divided by 2(a +b) = ?????

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter1: Basic Concepts And Properties
Section1.4: Algebraic Expressions
Problem 102PS
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Could you show me how to simplify the below?

1/a + b + 5/2(a + b) =

1 divided by a + b added to 5 divided by 2(a +b) = ?????

Thank you

Expert Solution
Step 1

Given 

1a+b+52(a+b)

Step 2

To simplify the expression 1a+b+52(a+b).

To simplify these first find the least common multiplier between (a+b) and 2(a+b).

Now the least common multiplier between (a+b) and 2(a+b) is 2(a+b).

Adjust the fraction based on the least common multiplier,

1a+b+52(a+b)=22(a+b)+52(a+b)

Denominators are equal so combine the factors,

1a+b+52(a+b)=22(a+b)+52(a+b)                          =2+52(a+b)                          =72(a+b)

                           

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