Simplifying Expressions with Fractions

This video tutorial teaches how to simplify expressions by adding or subtracting terms with fractions. It begins with an introduction to the concept, followed by a review of the need for common denominators when adding fractions and the ability to combine like terms. The tutorial provides examples, including calculating the perimeter of a triangle with fractional sides and simplifying expressions with fractions. The lesson concludes with a summary of the key points covered.

Why is it important to have common denominators when adding or subtracting fractions?

• To make the fractions easier to multiply

• To convert fractions into decimals

• To ensure the fractions are equivalent

• To simplify the fractions to whole numbers

What is the first step in finding the perimeter of a triangle with fractional side lengths?

• Multiply all side lengths by 2

• Add all side lengths together

• Convert all fractions to decimals

• Subtract the smallest side length from the largest

How do you combine like terms in an expression with fractions?

• Add the coefficients and keep the variable

• Multiply the coefficients and keep the variable

• Subtract the coefficients and change the variable

• Add the coefficients and change the variable

What is the common denominator for the fractions 3/4 and 1/2?

• 2

• 4

• 8

• 6

After rewriting 3/4 x and 1/2 x with a common denominator, what is the simplified expression?

• 3/4 x + 7

• 1/4 x + 7

• 5/4 x + 7

• 1/2 x + 7