Operations with Rational Expressions

Front

What is a rational expression?

Back

A rational expression is a fraction where both the numerator and the denominator are polynomials.

Front

How do you simplify a rational expression?

Back

To simplify a rational expression, factor both the numerator and the denominator and then cancel any common factors.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest expression that can be used as a common denominator for two or more fractions.

Front

How do you add rational expressions?

Back

To add rational expressions, first find a common denominator, then rewrite each expression with the common denominator, and finally combine the numerators.

Front

What is the process for subtracting rational expressions?

Back

Subtracting rational expressions involves finding a common denominator, rewriting each expression, and then subtracting the numerators.

Front

What is the formula for multiplying rational expressions?

Back

To multiply rational expressions, multiply the numerators together and the denominators together, then simplify if possible.

Front

How do you divide rational expressions?

Back

To divide rational expressions, multiply by the reciprocal of the divisor and then simplify.

Front

What is a complex fraction?

Back

A complex fraction is a fraction where the numerator, the denominator, or both contain fractions.

Front

How do you simplify a complex fraction?

Back

To simplify a complex fraction, find a common denominator for the fractions in the numerator and denominator, then simplify.

Front

What is the importance of factoring in rational expressions?

Back

Factoring is crucial in simplifying rational expressions, as it allows for the cancellation of common factors.