Simplifying a complex fraction by eliminating all of the fractions with the LCD

The video tutorial explains how to simplify complex fractions by eliminating denominators using the least common denominator (LCD). The process involves multiplying each term by the LCD to remove fractions in the numerator and denominator. The tutorial demonstrates the simplification process step-by-step, including applying the distributive property and addressing non-factorable expressions.

What is a complex fraction?

• A fraction with a numerator and denominator that are both integers.

• An expression divided by another expression.

• A fraction with a variable in the denominator.

• A fraction that cannot be simplified.

Why is the least common denominator (LCD) used in simplifying complex fractions?

• To convert fractions to decimals.

• To multiply fractions.

• To eliminate the fractions in the expression.

• To add fractions together.

What happens to the denominators when you multiply by the LCD?

• They become larger.

• They are eliminated.

• They remain unchanged.

• They are added together.

What is the next step after eliminating the denominators in a complex fraction?

• Convert the expression to a decimal.

• Apply the distributive property and simplify.

• Multiply the expression by another fraction.

• Add the numerators together.

Which property is applied to simplify the expression after multiplying by the LCD?

• Commutative property

• Identity property

• Associative property

• Distributive property