The addable fractions are proper fractions, where addition can be inserted into numerator and denominator, and the resulting fraction is equal to the original. The same is true for other operations, such as, addition, subtraction, multiplication, potentiation, etc. These types of fractions, we call selfie-fractions. This work brings selfie fractions with single and/or multiple representations in different digits with all basic operations. The numerator values are with two and three digits numbers. The denominator values considered are maximum up to 6-digits. The results are in increasing order of numerator values. Also, numerator is always less than denominator. The repeated digits selfie fractions are given in another work.
This work can be downloaded at the following link:
- Inder J. Taneja, Different Digits Selfie Fractions: Two and Three Digits Numerators, Zenodo, September, 12, 2019, pp. 1-337, http://doi.org/10.5281/zenodo.3474091
Below are few slides of examples:
Below is a complete list of author’s work in this direction:
Selfie Fractions
- Inder J. Taneja, Selfie Fractions: Addable, Subtractable, Dottable and Potentiable, Zenodo, March 24, 2019, pp. 1-260, http://doi.org/10.5281/zenodo.2604531
- Inder J. Taneja, Pandigital Equivalent Selfie Fractions, Zenodo, April 02, 2019, pp. 1-392, http://doi.org/10.5281/zenodo.2622028
- Inder J. Taneja, Repeated Digits Selfie Fractions: Two and Three Digits Numerators, Zenodo, Septembr 12, 2019, pp. 1-1091, http://doi.org/10.5281/zenodo.3406655
- Inder J. Taneja, Different Digits Selfie Fractions: Two and Three Digits Numerators – Revised, Zenodo, September, 12, 2019, pp. 1-337, http://doi.org/10.5281/zenodo.3406674, http://doi.org/10.5281/zenodo.3474091
- Inder J. Taneja, Different Digits Selfie Fractions: Four Digits Numerator, Zenodo, October 06, 2019, pp. 1-844, http://doi.org/10.5281/zenodo.3474267
- Inder J. Taneja, Different Digits Selfie Fractions: Five Digits Numerator – Pandigital, Zenodo, October 06, 2019, pp. 1-362, http://doi.org/10.5281/zenodo.3474379
- Inder J. Taneja, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267, http://doi.org/10.5281/zenodo.3520096
For more work in recreation of numbers see the publication list:
- Inder J. Taneja, Recreation of Numbers, https://inderjtaneja.com/2019/06/27/publications-recreation-of-numbers/