Skip to content

Journey · Maths

How do you divide a pizza fairly?

Where fractions turn out to be a language of sharing

Steps
4
Total time
1 h 10 min
Simulations
4
A sliced pizza on a wooden board
Fair sharing starts with equal parts.

Photo: Thomas Tucker / Unsplash

Why is this question interesting?

Four people are going to share a pizza. One wants half the slices, another a third; someone else says, "I'll take two small slices, that's the same as one big slice." Who's right, and who ends up eating more? At school, fractions are taught like a list of rules, but at heart they're the answer to an everyday problem: dividing a whole fairly.

On this journey you'll first see what it means to divide a whole into equal parts, and why unit fractions matter so much. Then you'll discover that fractions that look different can show the same amount: why 1/2 and 2/4 are the same piece of pizza.

Next you'll compare and order the pieces, and finally add and subtract them. Once you've seen on the pizza model why adding 1/2 and 1/3 doesn't give 2/5, you'll never need to memorise that rule again.

Steps

We suggest going in order; each step builds on the one before. You can try every lesson’s simulation without an account.

  1. Step 115 min

    The fraction model and unit fractions

    The first condition for fair sharing is equal parts. See here what the numerator and the denominator tell you.

    • Fraction model
    • Mini quiz
  2. Step 215 min

    Equivalent fractions

    Cutting the pizza into more slices doesn't change your share. Why are 1/2 and 2/4 the same?

    • Fraction model
    • Mini quiz
  3. Step 320 min

    Comparing and ordering fractions

    Whose share is bigger? Learn reliable ways to compare fractions with different denominators.

    • Sorting
    • Mini quiz
  4. Step 420 min

    Adding and subtracting fractions

    What happens when you put the pieces together? See on the model why 1/2 + 1/3 isn't 2/5.

    • Fraction model
    • Mini quiz

Another question

All journeys