Did you know that the Egyptians wrote all their fractions using what we call unit fractions? A unit fraction has 1 as its numerator (top number). Here are some examples:

1/ 5 1/ 3 1/ 2

They expressed all fractions as the sum of unit fractions, but they weren't allowed to repeat the same unit fraction in the addition. So we couldn't write:

3/ 8 = 1/ 8 + 1/ 8 + 1/ 8

because we've used 1/ 8 three times.

However, this would be fine:

3/ 8 = 1/ 4 + 1/ 8

How could the Egyptians write 3/ 4? Are there any other ways?

What is 2/ 3 written as the sum of unit fractions? Again, investigate different ways of doing this.

Find some more fractions (say three or four) which you can write as the sum of unit fractions.