Simplifying Complex Fractions Methods

The video tutorial explains how to simplify complex fractions using two methods. The first method involves finding the least common denominator of the fractions in the numerator and denominator, then multiplying both by this denominator. The second method simplifies the numerator and denominator separately, finds common denominators, and uses division by the reciprocal. Both methods result in equivalent simplified forms of the complex fraction.

What is the first step in simplifying a complex fraction using Method Two?

• Find the greatest common factor

• Find the least common denominator

• Multiply by the reciprocal

• Add the numerators

In Method Two, what do you do after finding the least common denominator?

• Divide the numerator by the denominator

• Multiply the numerator and denominator by the least common denominator

• Add the fractions together

• Subtract the smaller fraction from the larger one

What is the greatest common factor of the numerator in the simplified form using Method Two?

• 10

• 35

• 7

• 5

What is the first step in Method One for simplifying complex fractions?

• Add the fractions

• Find the least common multiple

• Simplify the numerator and denominator separately

• Multiply the fractions

What is the common denominator used in the numerator during Method One?

• 10

• 7

• 35

• 5

What is the common denominator used in the denominator during Method One?

• 35

• 10

• 7

• 5

In Method One, what is done after simplifying the numerator and denominator?

• Convert the complex fraction into a division problem

• Multiply by the least common denominator

• Subtract the fractions

• Add the fractions

What does a fraction bar represent in Method One?

• Multiplication

• Addition

• Division

• Subtraction

What is the result of dividing by a fraction in Method One?

• Finding the least common denominator

• Multiplying by the reciprocal

• Adding the fractions

• Subtracting the fractions

What is the final step in Method One after converting the complex fraction into a division problem?

• Subtract the fractions

• Add the fractions

• Multiply the fractions

• Simplify the result