MYTUTOR SUBJECT ANSWERS

376 views

What is the simplest form of the fraction (8a^2+10ab)/(12a+15b)?

These kinds of questions often come up in GCSE papers and involve algebraic manipulation. The key to answering these questions is finding a common factor in the numerator and denominator that can be cancelled out.

Let's start with factorising the numerator, 8a2+10ab. Immediately we can see that both terms contain the variable a and the coefficients are divisible by 2. Taking 2a as a common factor between the terms, we can factorise this expression to get 2a(4a+5b).

Let's look at the denominator now, 12a+15b. Here, unlike the numerator, we have no common variable but both terms are divisible by 3. Taking 3 as a common factor, we get the expresion 3(4a+5b).

Let's rewrite the original fraction using the factorised numerator and denominator. Doing so gives us (2a(4a+5b))/(3(4a+5b)). Immediately we can see that the numerator and denominator have a common factor of (4a+5b) that can be cancelled. Cancelling out the factor gives us 2a/3 which is the simplest form. 

Samradnyee K. GCSE Maths tutor, A Level Maths tutor, GCSE Further Mat...

8 months ago

Answered by Samradnyee, a GCSE Maths tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

457 SUBJECT SPECIALISTS

£20 /hr

Naomi S.

Degree: Medicine (Bachelors) - Trinity College Dublin University

Subjects offered:Maths, Music+ 4 more

Maths
Music
Human Biology
Chemistry
-Medical School Preparation-

“*Available to teach exam revision sessions immediately.* I'm a medical student at Trinity College Dublin. ”

£18 /hr

Nele W.

Degree: Geology & Geophysics (Msci, 4 Years) (Bachelors) - Imperial College London University

Subjects offered:Maths, Physics+ 4 more

Maths
Physics
German
English Language
Chemistry
-Personal Statements-

“Hello, I am a 2nd year student studying at Imperial College London. I am German and my hobbies include: Tennis, Hockey and the Clarinet.”

MyTutor guarantee

£20 /hr

Xanthe W.

Degree: Biological Sciences with a Year in Industry/Research (Bachelors) - Imperial College London University

Subjects offered:Maths, Chemistry+ 1 more

Maths
Chemistry
Biology

“Top tutor from the renowned Russell university group, ready to help you improve your grades.”

About the author

£18 /hr

Samradnyee K.

Degree: Biomedical Engineering (Bachelors) - Kings, London University

Subjects offered:Maths, Further Mathematics

Maths
Further Mathematics

“Hi, I am a Biomedical Engineering student at King’s College London. Mathematics and Physics have always been my passion and I hope to pass on my love for the subjects to you through engaging and interactive sessions specially catered ...”

MyTutor guarantee

You may also like...

Posts by Samradnyee

The variable x=t^2 and the variable y=2t. What is dy/dx in terms of t?

What is the equation of the curve that has gradient dy/dx=(4x-5) and passes through the point (3,7)?

What is the range of solutions for the inequality 2(3x+1) > 3-4x?

What is the simplest form of the fraction (8a^2+10ab)/(12a+15b)?

Other GCSE Maths questions

Solve the following simultaneous equations: 3x - y = 1, 2x + 2y = 2

John and simon share £80 in the ratio 5:3 in that order, how much do they each receive?

How Would I Factorise A Quadratic Equation?

Solve (x + 2)(x+3) = (2x+4)

View GCSE Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok