AQA · Mathematics · 8300
GCSE Maths: Algebraic fractions: addition
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Algebraic fractions: addition (Corbettmaths Video 21), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
10 flashcards · Free to study · No account needed
Study this deck
Preparing your cards…
All questions and answers
Read through the full deck, or practise recalling each answer above.
What is the first step when adding algebraic fractions with different denominators?
Show answer
Find a common denominator (usually the least common multiple of the denominators).
To add x/3 + x/4, the common denominator is ?.
Show answer
12
When subtracting algebraic fractions with different algebraic denominators like 2/(3y) - 1/(5y), what is the common denominator?
Show answer
15y (the product of 3y and 5y divided by their common factor, or simply the LCM).
What is the rule for multiplying two algebraic fractions?
Show answer
Multiply the numerators together and multiply the denominators together, then simplify.
What is the rule for dividing one algebraic fraction by another?
Show answer
Multiply by the reciprocal of the second fraction (flip the second fraction and multiply).
Before simplifying an algebraic fraction, what should you look for in the numerator and denominator?
Show answer
Common factors that can be cancelled, often found by factoring polynomials.
To simplify (x² + 8x)/(x² + 10x + 16), what is the first step?
Show answer
Factor both the numerator and denominator to identify common factors.
When multiplying algebraic fractions that contain factorable quadratics, when should you factor?
Show answer
Factor before multiplying to identify and cancel common factors early, making simplification easier.
What does 'express as a single fraction' mean when working with multiple algebraic fractions?
Show answer
Combine the fractions using the required operations to produce one fraction, fully simplified.
When adding three or more algebraic fractions with different denominators, what must you find?
Show answer
A common denominator that all the individual denominators divide into evenly.
Want to create your own cards? Create a free account. AI generation uses credits.