# How to Add Algebraic Fractions

## Adding Algebraic Fractions

Algebraic fractions can be added.

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

## How to Add Algebraic Fractions

To add algebraic fractions, use the rule:

## A Real Example of How to Add Algebraic Fractions

### Question

Add the algebraic fractions below.

### Step-by-Step:

# 1

Compare the fractions you are adding 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)(3) = x × 3 = 3x

(2)(y) = 2 × y = 2y

(2)(3) = 2 × 3 = 6

### Answer:

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