Simplifying complex fractions

The video tutorial explains how to simplify a complex fraction by finding the least common denominator (LCD) and using it to eliminate fractions. The instructor demonstrates the process step-by-step, starting with identifying the denominators, calculating the LCD, and multiplying each term by the LCD. This results in a simplified expression without fractions. The final step involves factoring the numerator and denominator to achieve the simplest form of the expression.

What is the first step in simplifying a complex fraction according to the video?

• Add all the fractions together.

• Divide each term by the smallest denominator.

• Multiply each term by the numerator.

• Combine the fractions by finding a common denominator.

What is the least common denominator (LCD) used in the video to simplify the complex fraction?

• X

• 3

• 3X

• 6

After multiplying by the LCD, what is the next step in simplifying the expression?

• Factor out common terms.

• Add all terms together.

• Multiply by another fraction.

• Divide by the largest term.

What common term is factored out from the numerator in the final simplification?

• X

• 3

• 5

• 6

What common term is factored out from the denominator in the final simplification?

• 2

• X

• 3

• 6