Multiplying and Dividing Rationals - Concept

Concept Concept (1)

Multiplying rational expressions is basically two simplifying problems put together. When multiplying rationals, factor both numerators and denominators and identify equivalents of one to cancel. Dividing rational expressions is the same as multiplying with one additional step: we take the reciprocal of the second fraction and change the division to multiplication.

Sample Sample Problems (10)

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Multiplying and Dividing Rationals - Problem 1

Multiply and simplify your answer.

3xy² 4x³z
10y³ x³z³
Problem 1
How to multiply rational expressions that are monomials.
Multiplying and Dividing Rationals - Problem 2

Multiply and simplify your answer.

x + 3 (5x² + 10x)
5x²
Problem 2
How to multiply a rational expression by a polynomial.
Multiplying and Dividing Rationals - Problem 5
Problem 5
Reducing monomial rational expressions first, then multiply.
Multiplying and Dividing Rationals - Problem 7
Problem 7
Multiplying rational expressions involving negative exponents.
Multiplying and Dividing Rationals - Problem 8
Problem 8
Using opposite binomials to factor and multiply rational expressions.
Multiplying and Dividing Rationals - Problem 9
Problem 9
Addressing common reducing errors when multiplying rational expressions.
Multiplying and Dividing Rationals - Problem 10
Problem 10
Multiplying a fraction with a polynomial times a polynomial.
Multiplying and Dividing Rationals - Problem 11
Problem 11
Simplifying "double fractions," or quotients of fractions.