Simplifying Complex Fractions Methods

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. Method one simplifies the numerator and denominator separately, then writes the complex fraction as a division problem, converting it to a multiplication by the reciprocal. Both methods result in a simplified form of the complex fraction, either in factored or distributed form.

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

• Subtract the fractions in the denominator

• Multiply the numerator and denominator by the same number

• Find the least common denominator of all fractions involved

• Add the fractions in the numerator

In Method Two, what is the least common denominator for fractions with denominators 3, 5, and p?

• 3p

• 5p

• 30p

• 15p

Why can't you simplify across addition or subtraction in a rational expression?

• Because it changes the value of the expression

• Because it is not mathematically allowed

• Because it only works for multiplication and division

• Because it is too complex

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

• Find the least common denominator

• Simplify the numerator and denominator separately

• Multiply by the reciprocal

• Combine the fractions in the numerator

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

• Write the complex fraction as a division problem

• Multiply the fractions

• Subtract the fractions

• Add the fractions together

What is the least common denominator for the fractions in the numerator in Method One?

• 3p

• 5p

• 15p

• p

How is dividing by a fraction handled in Method One?

• By finding a common denominator

• By adding the fractions

• By subtracting the fractions

• By multiplying by the reciprocal

What is the result of multiplying the numerator by the reciprocal of the denominator in Method One?

• A fraction with a larger denominator

• A more complex fraction

• An unchanged fraction

• A simplified fraction

What is the final step in Method One after multiplying by the reciprocal?

• Add the fractions

• Distribute and simplify

• Find a new common denominator

• Subtract the fractions

Which method results in a rational expression in factored form?

• Method One

• Method Two

• Both methods

• Neither method