Simplifying Complex Fractions

The video tutorial explains how to simplify complex fractions using two methods. Method two involves finding the least common denominator (LCD) of the fractions in the numerator and denominator, then multiplying both by the LCD to simplify. Method one simplifies the numerator and denominator separately before rewriting the complex fraction as a division problem and multiplying by the reciprocal. Both methods ultimately lead to the same simplified expression.

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

• Multiply the numerator and denominator by the same number

• Add the fractions in the numerator

• Subtract the fractions in the denominator

• Find the least common denominator of the fractions

When multiplying the numerator and denominator by the least common denominator, what is the purpose?

• To change the value of the fraction

• To eliminate the denominator

• To obtain an equivalent fraction

• To make the fraction larger

In Method Two, what is the greatest common factor of the numerator 3t^2 + 12t?

• 12

• 3

• t

• 3t

What is the result of simplifying the expression 3t^2 + 12t over t^2 - 16?

• 3t over t^2 + 16

• 3t over t + 4

• 3t over t - 4

• 3t over t^2 - 16

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

• Multiply the fractions

• Simplify the numerator and denominator separately

• Find the least common denominator

• Combine the fractions in the numerator and denominator

In Method One, what is the common denominator for the fractions in the numerator?

• t

• 1

• 16

• t^2

How is a complex fraction written as a division problem in Method One?

• By dividing the top fraction by the bottom fraction

• By multiplying the fractions

• By subtracting the fractions

• By adding the fractions

What is the reciprocal of a fraction?

• The fraction with numerator and denominator swapped

• The fraction itself

• The fraction multiplied by 2

• The fraction divided by 2

In Method One, what is the result of simplifying the expression 3t + 12 over t divided by t^2 - 16 over t^2?

• 3t over t^2 + 16

• 3t over t^2 - 16

• 3t over t + 4

• 3t over t - 4

What is the final simplified expression obtained using both methods?

• 3t over t + 4

• 3t over t - 4

• 3t over t^2 - 16

• 3t over t^2 + 16