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freeCodeCamp/curriculum/challenges/english/08-coding-interview-prep/project-euler/problem-73-counting-fractions-in-a-range.english.md
Kristofer Koishigawa 6cfd0fc503 fix: improve Project Euler descriptions, challenge seeds, and test cases (#38016)
* fix: improve Project Euler descriptions and test case

Improve formatting of Project Euler test descriptions. Also add poker hands array and new test case for problem 54

* feat: add typeof tests and gave functions proper names for first 100 challenges

* fix: continue fixing test descriptions and adding "before test" sections

* fix: address review comments

* fix: adjust grids in 18 and 67 and fix some text that reference files rather than the given arrays

* fix: implement bug fixes and improvements from review

* fix: remove console.log statements from seed and solution
2020-02-28 06:39:47 -06:00

1.5 KiB

id, challengeType, title, forumTopicId
id challengeType title forumTopicId
5900f3b61000cf542c50fec8 5 Problem 73: Counting fractions in a range 302186

Description

Consider the fraction, n/d, where n and d are positive integers. If n<d and HCF(n,d)=1, it is called a reduced proper fraction.

If we list the set of reduced proper fractions for d ≤ 8 in ascending order of size, we get:

1/8, 1/7, 1/6, 1/5, 1/4, 2/7, 1/3, 3/8, 2/5, 3/7, 1/2, 4/7, 3/5, 5/8, 2/3, 5/7, 3/4, 4/5, 5/6, 6/7, 7/8

It can be seen that there are 3 fractions between 1/3 and 1/2.

How many fractions lie between 1/3 and 1/2 in the sorted set of reduced proper fractions for d ≤ 12,000?

Instructions

Tests

tests:
  - text: <code>countingFractionsInARange()</code> should return a number.
    testString: assert(typeof countingFractionsInARange() === 'number');
  - text: <code>countingFractionsInARange()</code> should return 7295372.
    testString: assert.strictEqual(countingFractionsInARange(), 7295372);

Challenge Seed

function countingFractionsInARange() {
  // Good luck!
  return true;
}

countingFractionsInARange();

Solution

// solution required