Operations with Fractions and Factors

The video tutorial explains how to simplify a complex fraction by first finding common denominators for the numerator and denominator. It then demonstrates converting the division of fractions into multiplication by using reciprocals. The tutorial further covers factoring expressions to simplify the fraction before multiplying. The final result is a simplified complex fraction, with each step clearly explained to aid understanding.

What is the first step in simplifying a complex fraction?

• Find the sum in the numerator

• Find the difference in the numerator

• Multiply the numerator and denominator

• Divide the numerator by the denominator

How can the number 1 be expressed as a fraction?

• 1/0

• 0/1

• 1/1

• 1/x

What is the common denominator used for the fractions in the numerator?

• x^3

• x^4

• x

• x^2

What operation is performed instead of dividing by a fraction?

• Subtracting the reciprocal

• Multiplying by the reciprocal

• Dividing by the reciprocal

• Adding the reciprocal

What is the reciprocal of the fraction x^2 over (x^2 - x - 12)?

• x^2 over (x^2 - x - 12)

• (x^2 - x - 12) over x

• x over (x^2 - x - 12)

• (x^2 - x - 12) over x^2

What is the factored form of x^2 - 9?

• (x + 3)(x - 3)

• (x - 3)(x - 3)

• (x + 3)(x + 3)

• (x - 3)(x + 4)

Which pair of numbers are factors of -12 that add up to -1?

• -2 and 6

• -4 and 3

• -3 and 4

• -1 and 12

What does x^2 over x^2 simplify to?

• 1

• x^2

• x

• 0

What is the simplified form of the complex fraction?

• (x + 3)/(x + 4)

• (x - 3)/(x - 4)

• (x - 3)/(x + 4)

• (x + 3)/(x - 4)

What is the final step in simplifying the complex fraction?

• Adding the fractions

• Multiplying the fractions

• Subtracting the fractions

• Simplifying the expression