**Adding Rational Expressions**

**Adding Rational Expression with Like Denominators**

To add when the denominators are the same, add the numerators and keep the same denominator. Then simplify if possible.

Example

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**To add rational expressions with different denominators:**

**a. **Find the LCM of the denominators. This is the least common

denominator (LCD).

**b. **For each rational expression, find an equivalent expression with

the LCD. To do so, multiply by 1 using an expression for 1 made up

of factors of the LCD that are missing from the original

denominator.

**c. **Add the numerators. Write the sum over the LCD.

**d. **Simplify if possible.