Decimal expansions of rational numbers

Introduction

Use this list to find a fraction by its decimal expansion. The approximate values are given to 9 significant figures. The list contains rational numbers a/b that satisfy these requirements:

If the number you're looking for is greater than 1, only keep the fractional part. If the fractional part is greater than 0.5, subtract it from 1. For example:

  1. number to look for: x = 3.857142857
  2. only keep the fractional part: x − 3 = 0.857142857
  3. subtract the number from 1 to make it less than 0.5: 1 − (x − 3) = 4 − x = 0.142857143
  4. look up the number in the list below: 4 − x = 0.142857143 ≈ 1/7
  5. simplify: x ≈ 4 − 1/7 = 27/7

The list was generated with this Python program.

The numbers

There are 2,000 fractions on the list.