Fraction Calculator

Creating a calculator that can represent the answer in both decimal and fraction format.

Core system codes are at https://github.com/Jin4202/FractionCalculator/tree/master/app/src/main/java/com/calculator/fractioncalculator

Functions

Switching the answer type into decimal and fraction by pressing the [A/B] button

Project Environment Build

• Framework: Android Studio
• Language: Java

Main Challenges

1. Transforming the answer from decimal to fraction
   Solution: Independently build the arithmetic operations and input parsers.
   Ex. inputs: n1, n2

Addtion: (n1.numerator*n2.denominator + n2.numerator*n1.denominator) / (n1.denominator*n2.denominator)
Minus: (n1.numerator*n2.denominator - n2.numerator*n1.denominator) / (n1.denominator*n2.denominator)
Multiplication: (n1.numerator*n2.numerator) / (n1.denominator*n2.denominator)
Division: (n1.numerator*n2.denominator) / (n1.denominator*n2.numerator)

2. Calculating while leaving the mathematical constant in the expressions
   Basic idea: Creating a map that contains infomation of powers of constants and their coefficients.
   PI-e Map
   a(i,j) = a * PIⁱ * e^j

Examples)
Addition/Minus

a(i,j) + b(i,j) = (a+b)(i,j)
Multiplication

a(i₁,j₁) x b(i₂,j₂) = (axb)(i₁+i₂,j₁+j₂)
Division

2a(i₁,j) / 2(i₂,j) = a(i₁-i₂,j)
Challenge
Only way of finding common polynominal factor seems to be trying every single formula. Therefore, I only implemented the factorization of 'single' constant {a(0,0)} and mathematical constants.

Further possible goals

• Trigonometry
• Logarithm
• Root
• Degree/Radian
• Factoring polymoninal