Difference between equivalent fractions and equations

The video tutorial explains the process of multiplying fractions and equations by the least common multiple (LCM) to either create equivalent fractions or eliminate denominators. It highlights the importance of using LCM to add fractions by achieving common denominators and contrasts this with eliminating denominators in equations. The tutorial also discusses the implications of multiplying both the numerator and denominator by the LCM, emphasizing the creation of equivalent equations without simplifying the problem.

Why do we multiply only the numerator when creating equivalent fractions?

• To make the fraction larger

• To maintain the fraction's value while changing its form

• To simplify the fraction

• To change the value of the fraction

What is the purpose of finding a common denominator when adding fractions?

• To make the fractions smaller

• To ensure the fractions have the same base for addition

• To eliminate the fractions entirely

• To change the fractions into whole numbers

How does multiplying an equation by the LCM help in solving it?

• It changes the equation's solution

• It eliminates the fractions from the equation

• It changes the equation into a fraction

• It makes the equation more complex

What happens when you multiply both the numerator and denominator by the same number?

• The equation's solution changes

• The equation's denominators become the same

• The equation remains unchanged in value

• The equation becomes easier to solve

Why is it beneficial to multiply by the LCM instead of the same number for both numerator and denominator?

• It changes the equation's solution

• It produces an equivalent equation without fractions

• It makes the equation more complex

• It changes the equation into a fraction