How To Solve Algebraic Fractions – An algebraic fraction is exactly what it sounds like: a fraction where you find terms that involve algebra. It’s important to remember that the rules you learned about fractions still apply to algebraic fractions, so make sure you’re comfortable with the following topics before moving on.
This is the simplest type to simplify, requiring only the need to cancel similar conditions.
How To Solve Algebraic Fractions
Step 1: First, we need to factor the numerator and denominator of the fraction. (View factoring squares here)
Applications Of Algebraic Fractions
Step 2: Cancel our fraction, in this case we can cancel (a + 3) in both the numerator and the denominator
When adding and subtracting fractions, you must always find a common denominator, which is the same for algebraic fractions.
Now this may seem like we’ve oversimplified it, but if we consider that 2x + 4 = 2(x + 2), then suddenly we have a common factor. Get:
Solving Equations And Simplifying Algebraic Fractions Worksheet
We need to find a common denominator between all three fractions before we can do addition and subtraction.
Since 30 is the lowest common multiple of 2, 3, and 5, we will choose 30x as the common denominator.
Now, the denominator is a special kind of quadratic expression that is denoted by the difference of two squares,
Algebra: Fraction Problems (solutions, Examples, Videos)
Since there is a factor of (k + 6) in both the numerator and denominator, they cancel.
Our first step when dividing fractions should be to invert the second fraction and turn the division into multiplication.
There’s a factor of one that we can cancel and also take a factor of 3 from 63 and 48,
Ways To Simplify Algebraic Fractions
Given that the denominator is (z – 1)(z + 5), we can see that there are no common factors, which means our final answer is:
Revise for your GCSE maths exam with the most comprehensive maths revision cards available. These GCSE Maths revision cards are relevant to all major exam boards, including AQA, OCR, Edexcel and WJEC. Profits from each package are reinvested in creating free MME content, benefiting millions of students across the country.
The MME GCSE Maths Revision Guide covers the entire GCSE Maths course with easy-to-understand examples, explanations and plenty of exam-style questions. We also provide a separate answer book to make it easier to check your answers! Profits from each revision guide are reinvested in creating free MME content, benefiting millions of students across the country.
Square Root Property (fractions!)
GCSE Maths Predicted Papers are perfect for preparing for your GCSE Maths exams. These papers are in the same style and format as the actual exams. They are only available on MME! Profits from each package are reinvested in creating free MME content, benefiting millions of students across the country.
WJEC GCSE Maths Predicted Papers are great preparation for your 2023 GCSE Maths exams. These predicted papers are in the same format and style as the actual exam and come in A4 booklets. Exclusive to MME! Profits from each set are reinvested in creating free MME content, benefiting millions of teachers across the country.
Online exams, practice questions and revision videos for every GCSE level 9-1 subject! No fees, no trial, just completely free access to the UK’s best GCSE maths revision platform.
Equations Involving Fractions Textbook Exercise
Algebra Fractions Worksheets, Questions, and Revision have been added to your saved topics. You can view all of your saved topics by visiting My Saved Topics.
Algebra Fractions Worksheets, Questions, and Revision have been removed from your saved topics. You can view all of your saved topics by visiting My Saved Topics.
By continuing to click and use our website, you agree to our use of cookies in accordance with our cookie policy These questions are about simplifying algebraic fractions and are popular on non-calculator GCSE maths papers. They are either easy… or quite difficult. The example photo shows the bottom expression as “2x squared…” and that type of question would be considered quite challenging.
Equations With Fractions
Here are some videos explaining factorization and this is the main skill you will need most of the time. Like many algebra topics, it is very difficult to give specific examples because they all work together to solve many different types of questions. However, being able to simplify an algebraic fraction using factorization will help when working through higher-level problems.
If you want to ask for more details, or are unsure about something, please ask. question in the comments section.
This website uses cookies to improve your experience. We assume you’re okay with this, but you can opt out if you want. Accept Read more
How To Square Fractions: 12 Steps (with Pictures)
This website uses cookies to improve your experience while navigating the website. Of these, cookies categorized as necessary are stored in your browser because they are necessary for the basic functions of the website to work. We also use third-party cookies that help us analyze and understand how you use this website. These cookies are stored in your browser only with your consent. You also have the option to opt out of these cookies. However, selecting some of these cookies may affect your browsing experience.
Necessary cookies are absolutely necessary for the website to function properly. This category only includes cookies that guarantee basic functions and security features of the website. These cookies do not store any personal information.
All cookies that may not be particularly necessary for the website to function and are specifically used to collect the user’s personal data through analytics, advertisements, other embedded content, are called unnecessary cookies. It is mandatory to obtain user consent before these cookies are activated on your website. Home / IGCSE / Mathematics: Extended / CIE / Revision notes / 2. Algebra and graphs / 2.8 Algebraic fractions / 2.8.1 Algebraic fractions
Solving Equations By Multiplying Fractions
If you are asked to simplify an algebraic fraction and multiply it over or under, it is very likely that one of the factors above and below will be the same – you can use this to help you factor difficult squares!
Leaving the top and bottom of the fraction in factored form helps you see if something cancels out at the end
Mark graduated twice from the University of Oxford: once in 2009 with a first in Mathematics, then again in 2013 with a Doctorate in Mathematics (DPhil). He has nine successful years as a secondary school teacher, specializing in further maths from A-level and teaching supplementary classes for Oxbridge maths candidates. In addition to teaching, he wrote five in-house textbooks, introduced a new spiral school curriculum, and trained other math teachers through outreach programs.
Algebraic Fractions: Equations
Fast connections
© Copyright 2015-2022 Save My Exams Ltd. All rights reserved. IBO was not involved in the production of and does not endorse the resources created by Save My Exams.
