MathsYears 10–11Algebra

Algebraic fractions

Simplify, add, subtract, multiply and divide algebraic fractions

What you'll learn

  1. 1

    Imagine you have a pizza cut into 8 slices, and you eat 2 slices. That's 2/8 of the pizza. Now imagine a letter x stands for 'a slice'. You have 2x/8x — that's an algebraic fraction!

  2. 2

    What does the letter x represent in 2x/8x?

  3. 3

    Simplify 3x/6x by cancelling. Tap the common factor.

  4. 4

    Simplify 4ab/12a completely.

  5. 5

    Simplify 5xy/15x by cancelling common factors.

  6. 6

    What is 6pq/9p simplified?

  7. 7

    Simplify 10x²/15x. (Hint: x² = x × x)

Practise Algebraic fractions with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 14–16. Aligned to the UK National Curriculum.