Combine Like terms with distributive property and fractions (mistake don't do)

The video tutorial explains how to combine like terms in algebraic expressions, especially when fractions are involved. It begins by discussing the challenges of combining terms with different denominators and introduces the distributive property as a solution. The tutorial then demonstrates how to simplify fractions by finding a common denominator and offers an alternative method of eliminating fractions by multiplying through the entire equation. The lesson concludes with a step-by-step guide on combining terms after fractions have been removed.

Why can't 5X and 6X be directly added in the given context?

• They are multiplied by different fractions.

• They have different coefficients.

• They are in different equations.

• They are not like terms.

What is the purpose of using the distributive property in this context?

• To change the coefficients of the terms.

• To simplify the equation by removing variables.

• To eliminate the fractions.

• To combine like terms with different multipliers.

What is the first step in combining terms with fractions?

• Add the fractions directly.

• Find a common denominator.

• Multiply the terms by their coefficients.

• Subtract the smaller fraction from the larger one.

How can fractions be eliminated to simplify the problem?

• By adding all the fractions together.

• By multiplying by the least common multiple of the denominators.

• By dividing by the smallest denominator.

• By converting fractions to decimals.

What is the result of multiplying the entire equation by the least common multiple of the denominators?

• The coefficients of the terms are reduced.

• The fractions are eliminated, simplifying the equation.

• The equation becomes more complex.

• The variables are removed from the equation.