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.
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:
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:
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:
Top Tip
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.
This page was written by Stephen Clarke.
You might also like...
algebra curriculumsubtracting algebraic fractionsdividing algebraic fractionssimplifying algebraic fractions
Help Us Improve Mathematics Monster
- Do you disagree with something on this page?
- Did you spot a typo?
Find Us Quicker!
- When using a search engine (e.g., Google, Bing), you will find Mathematics Monster quicker if you add #mm to your search term.
Share This Page
If you like Mathematics Monster (or this page in particular), please link to it or share it with others.
If you do, please tell us. It helps us a lot!
Create a QR Code
Use our handy widget to create a QR code for this page...or any page.
