# How to Multiply Algebraic Fractions

## Multiplying Algebraic Fractions

Algebraic fractions can be multiplied.

Imagine you wanted to multiply ^{a}⁄_{b} and ^{c}⁄_{d}.

## How to Multiply Algebraic Fractions

To multiply algebraic fractions, use the rule:

## A Real Example of How to Multiply Algebraic Fractions

### Question

Multiply the algebraic fractions below.

### Step-by-Step:

# 1

Compare the fractions you are multiplying with the rule shown above.

By comparing, we see that **a** = x, **b** = 2, **c** = y, **d** = 3.

# 2

Use the rule, with **a** = x, **b** = 2, **c** = y, **d** = 3:

# 3

Calculate the terms in the rule. Where we have written two numbers or letters in brackets together, multiply them together:

(x)(y) = x × y = xy

(2)(3) = 2 × 3 = 6

### Answer:

We have multiplied ^{x}⁄_{2} and ^{y}⁄_{3} together: