Algebra 2 - Learn how to simplify a complex fraction by eliminating the denominator

The video tutorial explains how to simplify complex fractions by finding the least common denominator (LCD) and multiplying both the numerator and denominator by it. The instructor demonstrates the process step-by-step, including applying the distributive property and simplifying the expression. The goal is to eliminate fractions within fractions, resulting in a simplified expression.

What is a complex fraction?

• A fraction that cannot be simplified

• A fraction with only variables

• A fraction with expressions in both the numerator and the denominator

• A fraction with a single number in the numerator

What is the first step in simplifying a complex fraction?

• Multiply both the numerator and the denominator by the LCD

• Multiply the numerator by 2

• Add the numerator and the denominator

• Subtract the denominator from the numerator

How do you determine the LCD when simplifying complex fractions?

• Choose the largest number in the fraction

• Select the smallest number in the fraction

• Use only the constants in the expressions

• Include all variables and constants that appear in the expressions

What property is applied after multiplying by the LCD?

• Identity property

• Commutative property

• Distributive property

• Associative property

What is the result of applying the division property in the simplification process?

• The denominator becomes zero

• The numerator becomes zero

• The terms cancel out, simplifying the expression

• The fraction becomes more complex