solving equations by clearing fractions

Front

What is the least common denominator (LCD)?

Back

The least common denominator (LCD) is the smallest multiple that is common to the denominators of two or more fractions.

Front

What is the first step in solving an equation with fractions?

Back

Identify the least common denominator (LCD) of all the fractions in the equation.

Front

What do you do after finding the LCD?

Back

Multiply the LCD to every term of the equation.

Front

What is the purpose of clearing fractions in an equation?

Back

To simplify the equation, making it easier to solve.

Front

How do you clear fractions from an equation?

Back

Multiply each term of the equation by the least common denominator (LCD).

Front

Solve the equation: 2x - (3x + 1) = 2(x + 4)

Back

x = -3

Front

Solve: 8 = n + 3n - 24

Back

n = 8

Front

Solve the equation by first clearing fractions: ⅛x + ¼ = ⅝

Back

x = 3

Front

What is a common mistake when solving equations with fractions?

Back

Forgetting to multiply every term by the least common denominator.

Front

What happens if you multiply only some terms by the LCD?

Back

The equation will not be equivalent, leading to incorrect solutions.