## The Lesson

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}:

## Understanding The Rule

The letters written next to each other denotes that they are multiplying each other. The rule works when the**a**,

**b**,

**c**and

**d**are numbers, letters, terms or expressions. Make sure you can: