Clearing Fractions in Equations

The video tutorial introduces the concept of clearing fractions, a technique to simplify solving equations by eliminating fractions. It provides step-by-step examples, demonstrating how to multiply both sides of an equation by the least common multiple of the denominators to clear fractions. The tutorial covers various examples, including simple and complex equations, and concludes with a summary of the technique.

What is the main advantage of using the clearing fractions technique?

• It only works for equations with whole numbers.

• It eliminates the need to work with fractions in equations.

• It makes equations more complex.

• It requires more steps to solve equations.

In the traditional method, what is the first step to solve for x in an equation with fractions?

• Divide both sides by the fraction.

• Subtract the fraction from both sides.

• Add the fraction to both sides.

• Multiply both sides by the reciprocal.

When clearing fractions, what should you multiply both sides of the equation by?

• The least common multiple of the denominators.

• The largest number possible.

• The sum of the denominators.

• The smallest number possible.

In the example with a common denominator of 10, what is the result after clearing fractions?

• x equals 7

• x equals 4

• x equals 62 over 15

• x equals 3

What is the first step in the clearing fractions technique?

• Subtract all fractions from both sides.

• Find the greatest common divisor.

• Add all fractions together.

• Find the least common multiple.

In the example with multiple fractions, what is the least common multiple used?

• 8

• 10

• 15

• 12

In the advanced example, what is the common denominator used to clear fractions?

• 12

• 9

• 6

• 3