Multiplying and Dividing Rational Expressions Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Multiply 3xโ‹…x26\frac{3}{x} \cdot \frac{x^2}{6}.

Solution

  1. 1
    3x26x=x2\frac{3x^2}{6x} = \frac{x}{2}, xโ‰ 0x \neq 0.
  2. 2
    Cancel 3 and xx from numerator and denominator.

Answer

x2\frac{x}{2}, xโ‰ 0x \neq 0
Even with simple rational expressions, multiply straight across and then simplify by canceling common factors.

About Multiplying and Dividing Rational Expressions

Multiplying rational expressions by multiplying numerators together and denominators together (after factoring and canceling). Dividing by multiplying by the reciprocal of the divisor.

Learn more about Multiplying and Dividing Rational Expressions โ†’

More Multiplying and Dividing Rational Expressions Examples

Example 1 medium

Multiply [formula].

Example 2 hard

Divide [formula].

Example 4 medium

Divide [formula].

โ† All Multiplying and Dividing Rational Expressions Examples Multiplying and Dividing Rational Expressions Concept