Multiply and divide 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 multiply rational expressions?

Back

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

Front

What is the first step in dividing rational expressions?

Back

The first step is to multiply by the reciprocal of the divisor.

Front

What does it mean to simplify a rational expression?

Back

Simplifying a rational expression means reducing it to its lowest terms by canceling common factors in the numerator and denominator.

Front

What is a common factor in rational expressions?

Back

A common factor is a polynomial that divides both the numerator and the denominator without leaving a remainder.

Front

What is the importance of factoring in multiplying and dividing rational expressions?

Back

Factoring helps to identify and cancel common factors, making it easier to simplify the expression.

Front

What is the result of multiplying (2x/3) * (9/4x)?

Back

The result is 3/2 after simplifying.

Front

What is the result of dividing (6x^2/4) ÷ (3x/2)?

Back

The result is 1/2 x after simplifying.

Front

What is the rule for multiplying fractions?

Back

Multiply the numerators together and multiply the denominators together.

Front

What is the rule for dividing fractions?

Back

Multiply by the reciprocal of the divisor.