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 bring mixed selfie fractions with all basic operations using all the 10 digits, i.e., 0 to 9, known by pandigital selfie fractions. Eventhough using the digits 1 to 9 can also be called as pandigital, but we worked 10 digits, where each digit apears once. Starting single equivalent fraction, we brought the results upto 91 equivalent fractions. The fractions are without repetition of digits. The results contains four and five digits numerators. This work can be downloaded at the following links:
- Inder J. Taneja, Pandigital Equivalent Selfie Fractions, Zenodo, April 02, 2019, pp. 1-392, http://doi.org/10.5281/zenodo.2622028
Below are few examples given as slides:
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, Zenodo, September, 12, 2019, pp. 1-337, 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/
Numbers Magic 