Fraction Busters and Common Multiples

In this video, the Math Magician introduces the concept of fraction busters, a method to simplify equations by eliminating fractions. The video walks through an example equation, demonstrating how to find the least common multiple to clear fractions and solve for x. The process involves multiplying each term by the least common multiple, simplifying the equation, and solving for the unknown variable. The video emphasizes the efficiency of using the least common multiple over larger numbers and concludes with solving the equation to find x.

What is the main purpose of using fraction busters?

• To avoid solving equations

• To make equations more complex

• To eliminate fractions and simplify equations

• To introduce more fractions

Why do fractions make equations confusing?

• They are always large numbers

• They are not real numbers

• They are always negative

• They have different denominators

What is the equation used in the example?

• x/8 - 5/6 = 4

• x/6 - 5/8 = 4

• x/8 + 5/6 = 4

• x/6 + 5/8 = 4

What is the first step in using fraction busters?

• Divide all terms by a common number

• Multiply all terms by a common number

• Add a common number to all terms

• Subtract a common number from all terms

What is a common multiple?

• A number that is a factor of two numbers

• A number that is smaller than both numbers

• A number that two numbers can both divide into evenly

• A number that is larger than both numbers

What is the least common multiple of 6 and 8?

• 24

• 12

• 36

• 48

What is the least common multiple of 6 and 8 used in the example?

• 24

• 12

• 48

• 36

What is the purpose of finding a common multiple in fraction busting?

• To introduce decimals

• To make the equation more complex

• To eliminate fractions

• To add more fractions

What is the least common multiple of 6 and 8 used in the example?

• 12

• 24

• 36

• 48

What is the purpose of finding a common multiple in fraction busting?

• To add more fractions

• To eliminate fractions

• To make the equation more complex

• To introduce decimals