Fraction Busting and Equation Simplification

Miss Kaysen introduces a fraction busting problem involving the equation 2/3 X - 3 = 1/2 X - 7. She explains how to find the least common multiple of the denominators, which is 6, and uses it to eliminate fractions by multiplying each term by 6. The equation is then simplified to 4x - 18 = 3x - 42. By subtracting 3x from both sides and adding 18, the solution x = -24 is found.

What is the initial equation presented in the problem?

• 2/3 X + 3 = 1/2 X + 7

• 2/3 X - 3 = 1/2 X - 7

• 1/2 X - 3 = 2/3 X - 7

• 3/2 X - 3 = 2/3 X - 7

What is the first step in the fraction busting method?

• Add fractions together

• Find the greatest common divisor

• Find the least common multiple

• Subtract fractions

What is the least common multiple of 3 and 2?

• 2

• 12

• 3

• 6

Why is it important to find the least common multiple in fraction busting?

• To add fractions

• To divide fractions

• To eliminate fractions

• To subtract fractions

What operation is performed on each term of the equation using the least common multiple?

• Addition

• Division

• Multiplication

• Subtraction

What is the result of multiplying 2/3 X by 6?

• 12X

• 4X

• 8X

• 6X

What is the purpose of rewriting the equation in the fraction busting method?

• To make the equation longer

• To add more fractions

• To simplify the equation

• To introduce new variables

After rewriting, what does 6 X over 2 simplify to?

• 5X

• 4X

• 2X

• 3X

What is the simplified form of the equation after eliminating fractions?

• 3X + 18 = 4X + 42

• 3X - 18 = 4X - 42

• 4X + 18 = 3X + 42

• 4X - 18 = 3X - 42

What happens to the fractions in the equation after multiplying by the least common multiple?

• They are added together

• They are eliminated

• They are divided

• They are subtracted