Solving Fractional Equations Effectively

Mr. Han explains how to solve equations involving fractions by finding a common denominator and multiplying both sides to eliminate fractions. He provides multiple examples, including equations with decimals, demonstrating the process of distributing and simplifying to solve for x. The video emphasizes the importance of understanding common denominators and the concept of fraction busters to simplify equations.

What is the primary goal when solving an equation with fractions?

• To eliminate all coefficients

• To isolate the variable x

• To simplify the fractions

• To find the common denominator

What is a coefficient in the context of solving equations?

• A number at the bottom of a fraction

• A number in front of a variable

• A common multiple

• A fraction that needs to be simplified

How do you eliminate fractions in an equation?

• By subtracting the fractions from both sides

• By multiplying the entire equation by the common denominator

• By dividing both sides by the common denominator

• By adding the fractions together

What is the common denominator in the equation 2/5x - 19 = 11?

• 11

• 19

• 2

• 5

What is the result of multiplying 5 by 2/5x?

• 1x

• 5x

• 10x

• 2x

What is the least common multiple of 6 and 2?

• 2

• 6

• 12

• 18

What is the result of multiplying 5/6 by 6?

• 6

• 5

• 30

• 1

How do you handle equations with decimals?

• By multiplying by 10, 100, or 1000 to make them whole numbers

• By converting them to fractions

• By dividing by the largest decimal

• By adding the decimals together

What is the result of moving the decimal point two places to the right in 1.7x?

• 0.17x

• 1.07x

• 170x

• 17x

What is the final value of x in the equation 1.7x + 3.66 = 0.2x - 0.09 after eliminating decimals?

• -2.5

• -3.5

• 3.5

• 2.5