Who is asking: Parent
1/2 as a sum of two unit fractions is easy:
You will be able to extend this to a sum of ten unit fractions, noting that the last denominator is always even:
= 1/3 + 1/9 + 1/18.
Again we have
= 1/27 + 1/81 + 1/162,
= 1/3 + 1/9 + 1/27 + 1/81 + 1/162.
Continuing in this way, you will write 1/2 as a sum of 10 different unit fractions. (Looking at the pattern in the denominators can you guess the correct answer?)Cheers,