Multiplying and Dividing Rational Expressions

Front

What is a rational expression?

Back

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

Tags

CCSS.HSA.APR.D.7

Front

How do you multiply two rational expressions?

Back

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

Tags

CCSS.HSA.APR.D.7

Front

What is the first step in dividing rational expressions?

Back

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

Tags

CCSS.HSA.APR.D.6

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.

Tags

CCSS.HSA.APR.D.6

Front

What is the formula for multiplying rational expressions?

Back

If A/B and C/D are rational expressions, then (A/B) * (C/D) = (A*C)/(B*D).

Tags

CCSS.HSA.APR.D.7

Front

What is the formula for dividing rational expressions?

Back

If A/B and C/D are rational expressions, then (A/B) ÷ (C/D) = (A/B) * (D/C).

Tags

CCSS.HSA.APR.D.6

Front

What is a common factor in rational expressions?

Back

A common factor is a number or variable that divides both the numerator and the denominator of a rational expression.

Tags

CCSS.HSA.APR.D.6

Front

How do you find the least common denominator (LCD) of rational expressions?

Back

The least common denominator is the smallest expression that can be divided by each denominator in the set of rational expressions.

Tags

CCSS.HSA.APR.D.7

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 expressions.

Tags

CCSS.HSA.APR.D.6

Front

What is an example of multiplying rational expressions?

Back

Example: (2/x) * (3/y) = (2*3)/(x*y) = 6/(xy).

Tags

CCSS.HSA.APR.D.7