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- 4 steps
- 1 h 6 min
- 7 simulations
Journey · Maths
Where fractions turn out to be a language of sharing

Photo: Thomas Tucker / Unsplash
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.
We suggest going in order; each step builds on the one before. You can try every lesson’s simulation without an account.
Step 115 min
The first condition for fair sharing is equal parts. See here what the numerator and the denominator tell you.
Step 215 min
Cutting the pizza into more slices doesn't change your share. Why are 1/2 and 2/4 the same?
Step 320 min
Whose share is bigger? Learn reliable ways to compare fractions with different denominators.
Step 420 min
What happens when you put the pieces together? See on the model why 1/2 + 1/3 isn't 2/5.


