What is the significance of the LCD in adding fractions?

The LCD allows you to rewrite fractions with different denominators as equivalent fractions with a common denominator, making addition possible.

What is the LCD of $$\frac{4}{x^2-4}$$ and $$\frac{2}{x^2-1}$$ ?

The LCD is $$(x-2)(x+2)(x-1)(x+1)$$ .

What is the LCD of $$\frac{1}{x^2+3x+2}$$ and $$\frac{1}{x^2-1}$$ ?

The LCD is $$(x+1)(x+2)(x-1)(x+1)$$ .

What is the LCD of $$\frac{1}{x^2-1}$$ and $$\frac{1}{x^2-4}$$ ?

The LCD is $$(x-1)(x+1)(x-2)(x+2)$$ .

LCD - Rational Expressions Flashcards

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1.

FLASHCARD QUESTION

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.

2.

FLASHCARD QUESTION

Front

How do you find the LCD of two fractions?

Back

To find the LCD, identify the prime factors of each denominator, then take the highest power of each prime factor present in any of the denominators.

3.

FLASHCARD QUESTION

Front

Back

The LCD is 12.

4.

FLASHCARD QUESTION

Front

Back

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