Multiply a whole equation by LCD to solve an equation with fractions, (1/4)x+(2/3)=(5/6)

The video tutorial reviews solving equations, focusing on eliminating fractions by using the least common denominator (LCD). The teacher explains how to multiply each term by the LCD to simplify the equation, making it easier to solve. The process is demonstrated step-by-step, showing how to handle different denominators and simplify the equation to find the solution.

What is the main challenge students face when solving equations with fractions?

• Understanding the concept of variables

• Finding the least common denominator

• Solving equations without variables

• Dealing with fractions

What is the least common denominator (LCD) used for in solving equations with fractions?

• To divide fractions

• To convert fractions to decimals

• To add fractions

• To eliminate fractions by multiplying each term

How do you determine the least common denominator of a set of fractions?

• By adding all the denominators

• By finding the smallest number that all denominators divide into

• By finding the largest number that divides all denominators

• By subtracting the smallest denominator from the largest

What happens to the equation when you multiply each term by the LCD?

• The equation is solved immediately

• The equation becomes a different equation

• The equation remains equivalent but without fractions

• The equation becomes more complex

After eliminating fractions, what is the next step in solving the equation?

• Add all terms together

• Divide each term by the variable

• Multiply each term by the variable

• Subtract the constant term from both sides