# Multiplying Algebraic Fractions(KS3, Year 8)

homesitemapalgebramultiplying algebraic fractions
Algebraic fractions can be multiplied. Imagine you wanted to multiply ab and cd.

## How to Multiply Algebraic Fractions

To multiply algebraic fractions, use the rule:

## Question

Multiply the algebraic fractions below.

## 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

We have multiplied x2 and y3 together:

## Lesson Slides

The slider below shows a real example of how to multiply algebraic fractions.

## Understanding The Rule

Multiplying fractions requires:
• multiplying the numerators together to form the numerator of the product...
• ... and multiplying the denominators together to form the denominator of the product:
This gives 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:

## Cancelling Terms

When the numerator of one fraction equals the denominator of the other fraction, they cancel each other out: This is how to simplify algebraic fractions.

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