Add and subtract rational expressions

Front

What is required to add or subtract rational expressions?

Back

The rational expressions must have the same denominator.

Front

How do you find a common denominator for the fractions 1/2 and 1/3?

Back

The least common denominator (LCD) is 6.

Front

What is the first step in adding the fractions 3/4 + 1/2?

Back

Find a common denominator, which is 4.

Front

What is the result of 3/4 + 1/2?

Back

The result is 5/4 or 1 1/4.

Front

How do you subtract the fractions 5/6 - 1/3?

Back

Convert 1/3 to 2/6, then subtract: 5/6 - 2/6 = 3/6 = 1/2.

Front

What is the simplified form of (x^2 - 1)/(x - 1)?

Back

The simplified form is x + 1.

Front

What is the formula for adding two rational expressions a/b + c/d?

Back

(ad + bc) / bd.

Front

What is the formula for subtracting two rational expressions a/b - c/d?

Back

(ad - bc) / bd.

Front

What does it mean to simplify a rational expression?

Back

To reduce it to its lowest terms by canceling common factors.

Front

What is the result of (2x)/(4x^2) after simplification?

Back

The result is 1/(2x).