Maths History
Learn maths like an Egyptian scribe
Use the Rhind Mathematical Papyrus as a story hook for fractions, sharing, grain, bread and building problems.
Quick answer
You can learn maths like an Egyptian scribe by using fractions to share grain, bread, and building materials fairly among people, just like the ancient Egyptians did over 4,000 years ago.Learning outcome
By the end of this page, you will understand how ancient Egyptians used fractions to share things fairly, and you will be able to solve simple sharing problems using unit fractions. Success signs:- You can explain what a unit fraction is (like 1/2, 1/3, 1/4)
- You can share a set of items fairly using unit fractions
- You can solve simple sharing problems like "How do you share 5 loaves of bread between 3 people?"
- You can make your own Egyptian-style sharing problems
Why this matters
Learning maths like an Egyptian scribe helps you understand how people used fractions long before we had calculators or computers. It's useful for sharing food, dividing tasks, and even building things! Ancient Egyptians used these ideas to build pyramids, measure land, and make sure everyone got their fair share of grain.How it works
Egyptian scribes used special fractions called unit fractions. These are fractions where the top number (numerator) is always 1. For example:- 1/2 (one half)
- 1/3 (one third)
- 1/4 (one quarter)
- 1/5 (one fifth)
Examples you can see
Let's imagine you're an Egyptian scribe working in the year 1500 BC. You have a problem to solve: Problem: You have 3 loaves of bread to share between 2 people. Solution:- Each person gets 1 whole loaf
- Then you split the remaining 1 loaf in half
- Each person gets 1/2 loaf
- So each person gets 1 + 1/2 = 1 1/2 loaves
- Each person gets 1 whole loaf
- Remaining loaves: 5 - 4 = 1 loaf
- Split 1 loaf into 4 equal parts (1/4 each)
- Each person gets 1 + 1/4 = 1 1/4 loaves
- Each person gets 1 whole loaf
- Remaining loaves: 7 - 5 = 2 loaves
- Split 2 loaves into 5 equal parts
- Each person gets 2/5 of a loaf
- But Egyptians wrote this as 1/3 + 1/15
Try it as a mini adventure
Adventure: The Great Bread Festival You are an Egyptian scribe preparing for the Great Bread Festival. The pharaoh has ordered 12 loaves of bread to be shared among 8 workers. But there's a problem: the workers are from different villages and want to know how much bread each person gets. Step 1: How many whole loaves does each worker get? Step 2: How much bread is left over? Step 3: How do you split the leftover bread fairly? Step 4: Write your answer as a mixed number (like 1 1/2) Step 5: Check if you can write your answer using only unit fractions (1/2, 1/3, 1/4, etc.) Answer:- 12 ÷ 8 = 1 whole loaf each
- 12 - 8 = 4 loaves left
- 4 ÷ 8 = 1/2 loaf each
- Each worker gets 1 1/2 loaves
- 1 1/2 = 1 + 1/2
Common mistakes
- Mistake: Thinking 1/3 + 1/3 = 1/6 Why it happens: Confusing how to add fractions Fix: 1/3 + 1/3 = 2/3, not 1/6
- Mistake: Using 2/3 instead of 1/2 + 1/6 Why it happens: Not understanding that Egyptians only used unit fractions Fix: Break 2/3 into 1/2 + 1/6
- Mistake: Thinking 1/4 of a loaf is more than 1/2 of a loaf Why it happens: Not understanding that the bigger the bottom number, the smaller each piece is Fix: Remember: 1/4 is smaller than 1/2
- Mistake: Forgetting to check if your answer makes sense Why it happens: Rushing through problems Fix: Always double-check that your total equals the original amount
Parent and carer guide
Parents and carers can help by:- Using everyday situations to practice sharing: "You have 6 cookies to share between 3 people. How much does each person get?"
- Playing with unit fractions using blocks or food items
- Creating simple Egyptian-style problems together
- Encouraging children to explain their thinking: "How did you work that out?"
- Using real objects like apples or toys to model sharing
- Noticing when children use fractions correctly in daily life
- Remembering that it's okay to make mistakes - that's how we learn!
- Supporting children to check their work by adding up their parts
- Using the Egyptian method as a fun way to learn fractions
- Connecting the learning to what children already know about sharing
Practice questions
- How would you share 4 loaves of bread between 3 people?
- How would you share 7 loaves of bread between 5 people?
- How would you share 9 loaves of bread between 4 people?
- Write 3/4 as a sum of unit fractions
- Write 5/6 as a sum of unit fractions
- Each person gets 1 1/3 loaves
- Each person gets 1 2/5 loaves
- Each person gets 2 1/4 loaves
- 3/4 = 1/2 + 1/4
- 5/6 = 1/2 + 1/3
FAQ
What is a unit fraction?
A unit fraction is a fraction where the top number (numerator) is always 1. Examples include 1/2, 1/3, 1/4, 1/5, and so on.
Why did ancient Egyptians use only unit fractions?
Egyptians used unit fractions because they were easier to work with for simple sharing problems. They had special symbols for these fractions and didn't use complex fraction notation.
How do you add unit fractions?
To add unit fractions, you find a common denominator. For example, 1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2.
Can you use unit fractions for any sharing problem?
Yes, but sometimes it's more complicated. Egyptians would often break larger fractions into smaller unit fractions to make sharing easier.
How are Egyptian fractions different from our fractions?
Egyptian fractions only used unit fractions (1/2, 1/3, 1/4, etc.) and wrote complex fractions as sums of these simple ones. We use any fraction like 3/4 or 2/5 directly.