Mulitplying by the LCM to simplify a complex fraction

The video tutorial explains how to simplify expressions with fractions in both the numerator and denominator by finding the least common multiple (LCM) of the denominators. The teacher demonstrates the use of the distributive property to eliminate denominators and simplify the expression to reach a final answer.

What is the primary goal when dealing with expressions that have fractions in both the numerator and denominator?

• To add more fractions

• To divide the fractions

• To eliminate the denominators

• To multiply the fractions

Why is it important to find the least common multiple of the denominators?

• To simplify the expression by eliminating denominators

• To make the expression more complex

• To add more terms to the expression

• To increase the number of fractions

What happens to the denominators when you multiply the entire expression by the least common multiple?

• They remain unchanged

• They become larger

• They are added to the numerator

• They are eliminated

Which mathematical property is applied when distributing the least common multiple across the fractions?

• Distributive Property

• Associative Property

• Commutative Property

• Identity Property

What is the final simplified result of the expression in the tutorial?

• 11 / 9

• 12 / 10

• 10 / 8

• 9 / 11