How do you factorise/simplify algebraic fractions?

This type of problem depends on the example. At GCSE maths level, these problems require you to use maths tools such as Difference of Two Squares, Factorising Quadratics, adding and subtracting fractions. Some problems tell you to simplify an expression which has algebraic fractions. This has no equal sign, so your aim is to find an equivalent expression that is simpler than the original. In order to get to this, you should combine alrebraic fractions together using the common denominator method/cross multiply method when the fractions are being added/subtracted. After combining the fractions, work on the numerator and denominator separately. Expand any brackets, collect like terms and factorise the final quadratic. Do the same for the denominator. Sometimes you should use the difference of two squares rule; (A^2-B^2)=(A+B)(A-B) Then if the numerator and denominator have brackets in common, you can cancel them out. This should give you the answer in the simplest form. If the problem given has an equal sign, first follow the steps above. Then try and get the problem to be a line, rather than have fractions, by multiplying out the denominator to all terms of the equation. Then solve for the unknown.

Suhayl Patel

1.1k students helped

Maths Tutor • London

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Abdulkadir Jeilani

ProDBS

Mathematics specialist with 10 years experience teaching KS3, GCSE and A level.

I am a qualified Maths teacher (PGCE, QTS) with both UK and international experience. I teach GCSE and IGCSE specifications as well as KS3 Maths. I currently tutor online. I am currently Head of Mathematics at a Secondary school and have an excellent record with all my students getting a grade B or above at GCSE/IGCSE level.

£35Per hour

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Suzana Arefin

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Im passionate about teaching Science and Maths!

I have 6 years of experience working as a tutor. I provide one-to-one and group tuitions on a range of subjects.

£20Per hour

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Poli H

Online lessons

Supportive tutor to get you the best grades in maths & physics

Currently in my final year of studying Physics at KCL.

£13Per hour

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Abdur Khan

Online lessons

Second year dental student, happy to help :)

Hi, my name is Abdur and I’m currently studying Dentistry at the University of Bristol. I’d describe myself as a kind and friendly person who loves to teach using evidence-based techniques. As a dental student, a lot of my time is spent learning but also teaching others as it reinforces the knowledge I’ve gained from lectures, seminars and clinical sessions. I’d describing my style of teaching as interactive and personal as everyone has their own way of grasping topics. What sets my teaching apart from others is that it integrates core topics and links the common themes which cements the information to a deeper level of understanding. This is something I’ve used in my own studies which has helped me to ranked in the top 10 for the end of Year 1 exams and over achieve over 70% in end of Year 2 exams. I have been tutoring and mentoring students since 2016. What I’ve learnt from this experience is that building confidence in students is one of the key components to boosting grades. I highlight strengths and weaknesses so we can reinforce the areas which require more attention. This is through evidence-based teaching called active recall. The purpose of this method is to stimulate the mind through questioning rather than passive learning. Passive learning is something many students are guilty of which often leads to average grades. Through active learning it highlights areas that requires more attention. Spaced repetition will help to prevent forgetting important information and enables long term storage of knowledge which is crucial for exams!

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Keven Zhao

DBSOnline lessons

I’m passionate about teaching Physics, Maths and Programming.

I’m currently a second year PhD student at Imperial College doing physics. I’m passionate about Maths, physics and coding (especially in Python) and love sharing my experiences and enthusiasm with those I teach. “If you can’t explain it simply, you don’t understand it well enough” has always been the major motivation that drives me to teach and makes me enjoy teaching. When I teach, my strategy involves ensuring students understand basic concepts and techniques, how to link them together to solve more complex problems and helping students build up their abstract thinking progressively. In the past, I had taught A-level physics to Year 12 students at Newham Collegiate Sixth Form as a part-time tutor. My teaching experience also includes undergraduate teaching at Imperial College and I’ve taught undergraduate-level courses such as Year 2 Electromagnetism (for chemists), Year 3 Computational Physics and supervised Year 1 summer projects. Prices are negotiable.

£25Per hour