Discover MakerZone

MATLAB and Simulink resources for Arduino, LEGO, and Raspberry Pi

Learn more

Discover what MATLAB® can do for your career.

Opportunities for recent engineering grads.

Apply Today

Problem 1909. Two fractions, one sum

Created by James

Given a positive number x, write a MATLAB script that will tell you how many ways that the reciprocal of that number can be written as a sum of two reciprocals of integers. For example, 1/10 can be written as:

  • 1/11 + 1/110
  • 1/12 + 1/60
  • 1/14 + 1/35
  • 1/15 + 1/30
  • 1/20 + 1/20

The order of the fractions does not matter, so 1/11+1/110 is the same as 1/110+1/11. Therefore, two_fractions(10)=5. You do not need to output the fraction pairs themselves, only the total number of sums. Good luck!

Problem Group

Solution Statistics

9 correct solutions 12 incorrect solutions
Last solution submitted on Jul 12, 2014

Problem Comments

Solution Comments