Adding and Subtracting Algebraic Fractions

The video tutorial explains how to add and subtract algebraic fractions. It begins with an introduction to the concept, emphasizing the importance of having a common denominator. The tutorial provides examples of both simple and complex algebraic fractions, demonstrating the process of finding a common denominator and combining numerators. The video also covers subtraction, highlighting the similarities with addition and the need for common denominators. Throughout, the tutorial stresses the importance of understanding the underlying processes and provides step-by-step guidance for solving algebraic fraction problems.

What is the first step in adding algebraic fractions?

• Divide the fractions

• Subtract the denominators

• Find a common denominator

• Multiply the numerators

When adding fractions with different denominators, what must you do to the first fraction if the denominators are 2 and 4?

• Subtract 2 from the denominator

• Add 2 to the numerator

• Multiply the denominator by 2

• Multiply the numerator by 4

In the expression X^2 + 5 / y^2 + X / y, what must be done to the second fraction to achieve a common denominator?

• Multiply the numerator by X

• Multiply the denominator by y

• Add y to the numerator

• Subtract y from the denominator

What is the key difference between addition and subtraction of algebraic fractions?

• Subtraction requires a different numerator

• Addition involves multiplying the fractions

• Subtraction involves taking away instead of adding

• Addition requires a different denominator

In the subtraction example with X^2 / 9(X-5) - (X+4) / (X-5), what is the common denominator?

• X+4

• 9(X-5)

• X-5

• 9(X+4)

How do you handle algebraic fractions with completely different denominators like 2/(X+1) - 5/(X-4)?

• Add the numerators directly

• Divide the numerators by the denominators

• Multiply each denominator by the other

• Subtract the smaller denominator from the larger

What is the final step after achieving a common denominator in complex algebraic fractions?

• Multiply the numerators

• Simplify the numerators

• Add the denominators

• Divide the fractions