# Multiplying And Dividing Rational Expressions Calculator

## What is Multiplying And Dividing Rational Expressions Calculator?

'Cuemath's Multiplying And Dividing Rational Expressions Calculator' is an online tool that helps to calculate products or quotients of a given rational expression. Cuemath's online calculator helps you to calculate products or quotients of a given rational expression in a few seconds.

## How to Use Multiplying And Dividing Rational Expressions Calculator?

Please follow the below steps to find the products or quotients of given rational expressions:

• Step 1: Enter the numerator and denominator of rational expressions in the given input box.
• Step 2: Click on the "Multiply" or 'Divide" button depending on the requirement.
• Step 3: Click on "Calculate" button to find the product or quotient.
• Step 4: Click on the "Reset" button to find the products or quotients for different rational expressions.

## How to Find Multiplying And Dividing Rational Expressions?

A rational expression is a expression such that it can be expressed as the quotient or fraction p/q or simply quotient of two polynomials. It means both the numerator and denominator are polynomials.

Multiplication of Rational Expressions: We can multiply the numerators and the denominators and then simplify the product.

For example, multiply 4 / 5 and 9 / 8 = 4 / 5 × 9 / 8 = 36 / 40 = 9 / 10. The same can be applied to rational expressions.

Dividing Rational Expressions: To divide rational expressions, multiply the rational expression numerator by the reciprocal of the rational expression denominator.

For example, divide 2 / 3 and 5 / 9 = 2 / 3 × 9 / 5 = 18 / 15 = 6 / 5. The same can be applied to rational expressions.

### Solved Example:

Multiply given rational expressions (x + 1) / (x + 2) and (x + 2) / (x + 1)

### Solution:

Multiply (x + 1) / (x + 2) and (x + 2) / (x + 1)

= {(x + 1) / (x + 2)} × {(x + 2) / (x + 1)}

= {(x + 1) / (x + 1)} × {(x + 2) / {(x + 2)}

= 1

Similarly, you can try the calculator to find multiplying and dividing rational expressions for

1)  Divide 4x2 / 9 and 3x3 / 4      2) Multiply 2x2 / 5 and 4x / 6