LCD - Rational Expressions

Front

What is the definition of the Least Common Denominator (LCD)?

Back

The Least Common Denominator (LCD) is the smallest multiple that is common to the denominators of two or more fractions.

Front

How do you find the LCD of two rational expressions?

Back

To find the LCD, factor each denominator into its prime factors, then take the highest power of each factor that appears in any of the denominators.

Front

Back

Front

Back

Front

What are non-permissible values in rational expressions?

Back

Non-permissible values are values of the variable that make the denominator zero, leading to undefined expressions.

Front

Back

Front

Back

Front

Back

Front

What is the significance of factoring in finding the LCD?

Back

Factoring helps to identify the common factors in the denominators, which is essential for determining the LCD.

Front

How do you simplify a rational expression using the LCD?

Back

To simplify, multiply each term by the LCD to eliminate the denominators, then combine like terms.