solving equations by clearing fractions

Front

What is the first step to solve an equation with fractions?

Back

Find the least common denominator (LCD).

Front

What does clearing fractions in an equation involve?

Back

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

Back

x = 3

Front

What should you do after finding the LCD?

Back

Multiply the LCD to every term of the equation.

Front

What is the least common denominator (LCD) of 1/8, 1/4, and 5/8?

Back

The LCD is 8.

Front

If you have the equation 1/2x + 3 = 5, what is the first step to clear fractions?

Back

Multiply every term by 2.

Front

What is the purpose of clearing fractions in an equation?

Back

To simplify the equation and make it easier to solve.

Front

Solve the equation: 3/4x - 1/2 = 1/4

Back

x = 1.

Front

What is the result of multiplying the entire equation by the LCD?

Back

It eliminates the fractions from the equation.