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Lastly we can use the Fundamental Principle of Rational Expressions to simplify. Another way to approach this same problem is to factor both numerator and denominator completely and then cancel where appropriate. First we factor both numerator and denominator, then, once in factored form, we can use The Fundamental Principle of Rational Expressions to simplify. Finally, our simplified rational expression is:. Alternatively, we could do some canceling before multiplying and achieve the same result. We are allowed to do this because multiplication of real numbers is commutative, i.

The process of multiplying and dividing rational expressions is similar to multiplying and dividing rational numbers. In order to multiply, first multiply the numerators, then the denominators, and then simplify the expression. Division is the inverse of multiplication, so multiply by the reciprocal or inverse of the divisor, and then simplify the expression. Rational numbers are also known as fractions. The numerator 3 is in a ratio to the denominator 4. There are no common factors to both 6 and 5 except for 1 so the fraction is in simplest terms.

When multiplying fractions, we can multiply the numerators and denominators together and then reduce, as illustrated:. Multiplying rational expressions is performed in a similar manner. For example,.

Enter expression, e. Enter a set of expressions, e. Enter equation to solve, e. Enter equation to graph, e. Number of equations to solve: 2 3 4 5 6 7 8 9 Sample Problem Equ.

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