Simplifying complex fractions

The video tutorial explains how to simplify complex fractions by first factoring the denominators and then finding the least common denominator (LCD). It demonstrates combining fractions into a single fraction and using the reciprocal to eliminate fractions. The process involves applying the distributive property and simplifying terms to reach the final answer.

What is the first step in simplifying complex fractions?

• Multiply by the reciprocal

• Find the least common denominator

• Factor the expressions

• Combine the fractions

Which of the following is a correct factorization of the expression X^2 - 3X - 4?

• (X - 2)(X + 2)

• (X - 4)(X + 1)

• (X - 1)(X + 4)

• (X - 3)(X + 1)

When simplifying complex fractions, why is it important to find the least common denominator?

• To combine fractions into a single fraction

• To eliminate the numerators

• To multiply by the reciprocal

• To factor the expressions

What is the purpose of multiplying by the reciprocal in the final step of simplifying complex fractions?

• To factor the expressions

• To find the least common denominator

• To eliminate the fractions

• To rewrite the problem

What is the final simplified form of the complex fraction in the tutorial?

• X - 4 * X + 1 / 12 X^2 - 1 * X - 6

• X + 4 * X - 1 / 12 X^2 + 1 * X - 6

• X + 4 * X - 1 / 12 X^2 - 1 * X + 6

• X - 4 * X + 1 / 12 X^2 + 1 * X + 6