Adding and Reducing Fractions

The video tutorial explains how to add fractions with variables, starting with examples where the fractions have a common denominator and then moving to cases where the denominators differ. It demonstrates the process of finding a common denominator and simplifying the result when possible.

What is the first step in adding fractions with variables?

• Subtract the fractions

• Multiply the fractions

• Find a common denominator

• Find a common numerator

In the expression 3x/5 + 2x/5, what is the common denominator?

• 10

• 2

• 5

• 3

What is the result of adding 3x/5 and 2x/5?

• 10x/5

• x

• 5x/5

• 5x/10

Why do we reduce the fraction 5x/5?

• To find a common numerator

• To change the denominator

• To simplify the expression

• To make it more complex

What is the simplified form of 5x/5?

• 5x

• x

• 0

• 1

In the expression 2x/3 + 4x/5, what is the first step to add these fractions?

• Subtract the fractions

• Multiply the fractions

• Add the numerators directly

• Find a common denominator

What is the common denominator for 2x/3 and 4x/5?

• 30

• 3

• 5

• 15

How do you adjust the fraction 2x/3 to have a denominator of 15?

• Multiply the numerator by 5

• Multiply the numerator by 3

• Multiply the denominator by 3

• Multiply the denominator by 5

What is the result of multiplying 2x by 5?

• 5x

• 15x

• 20x

• 10x

How do you adjust the fraction 4x/5 to have a denominator of 15?

• Multiply the numerator by 3

• Multiply the numerator by 5

• Multiply the denominator by 3

• Multiply the denominator by 5