Chapter Contents

• Factoring and Fractions
• 1. Special Products
• 2. Common Factor and Difference of Squares
• 3. Factoring Trinomials
• 4. The Sum and Difference of Cubes
• 5. Equivalent Fractions
• 6. Multiplication and Division of Fractions
• 7. Addition and Subtraction of Fractions
• 8. Equations Involving Fractions
• Factoring and Fractions Problem Solver

• Comments, Questions?

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7. Addition and Subtraction of Fractions

Recall that to add or subtract fractions, we need to have the same denominator.

Example 1

`2/3+4/15`

Here, the lowest common denominator which we can use is 15. So we have:

`2/3+4/15=10/15+4/15=14/15`

Subtraction works in the same way, as we see in the next example.

Example 2

`6/7-5/14`

Answer

Example 3

`a/(6y)-(2b)/(3y^4)`

Answer

Example 4

`(x-1)/(2x^3-4x^2)+5/(x-2)`

Answer

Exercises

Simplify the following.

(1) `2/(s^2)+3/s`

Answer

(2) `5+(1-x)/2-(3+x)/4`

Answer

(3) `5/(6y+3)-a/(8y+4)`

Answer