Skip to main content

King's Maths School

Challenge 424: A simple sum

Nine fractions to be found!

Find nine different positive integers such that the sum of their reciprocals is equal to 1.

(If you find this easy, you might like to investigate other approaches, or explore how your approach extends to higher numbers of integers!)

Submit your solution

Please do send in your solution to this problem to weeklymaths@kcl.ac.uk You can scan or photograph your written work, or type your solutions. If this is your first weekly maths challenge solution, please include your year group and the name of the school you attend. We'll be happy to provide feedback on your solution, assuming that you are in year 11 or below. If you are older than this, we hope you enjoy trying the problems and reviewing your solutions against those we publish on the website.