Many advanced calculators have a fraction feature that will simplify fractions for you. You are to...

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Many advanced calculators have a fraction feature that will simplify fractions for you. You are to write a program that will accept for input a positive or negative integer as a numerator and a positive integer as a denominator, and output the fraction in simplest form. That is, the fraction cannot be reduced any further, and the numerator will be less than the denominator. You can assume that all input numerators and denominators will produce valid fractions. Implement this by writing a method that takes in a numerator and denominator, and returns an integer, a new reduced numerator and denominator. Sample Output (user input in red) Numerator: 14 Denominator: 3 Result: 4 2/3 Numerator: 8 Denominator: 4 Result: 2 Numerator: 5 Denominator: 10 Result: 1/2 A method called distance Between() that finds the distance between two points. This method should have 4 parameters: the x and y value of the first point and the x and y value of the second point. For example if you wanted to find the distance between A (1, 2) and B (4, 6), you d = √(x₂ − x₁)² + (x₂ − y₁)² would use distance Between(1,2,4,6). In this case the method should return 5. In case you forgot, the formula for the distance (d) between two points (X₁,Y₁) and (x2, Y2) is given below: Bullet-proof for value x andy and the program continues until user chooses to stop. Save your program as Distance_yourName.java Many advanced calculators have a fraction feature that will simplify fractions for you. You are to write a program that will accept for input a positive or negative integer as a numerator and a positive integer as a denominator, and output the fraction in simplest form. That is, the fraction cannot be reduced any further, and the numerator will be less than the denominator. You can assume that all input numerators and denominators will produce valid fractions. Implement this by writing a method that takes in a numerator and denominator, and returns an integer, a new reduced numerator and denominator. Sample Output (user input in red) Numerator: 14 Denominator: 3 Result: 4 2/3 Numerator: 8 Denominator: 4 Result: 2 Numerator: 5 Denominator: 10 Result: 1/2 A method called distance Between() that finds the distance between two points. This method should have 4 parameters: the x and y value of the first point and the x and y value of the second point. For example if you wanted to find the distance between A (1, 2) and B (4, 6), you d = √(x₂ − x₁)² + (x₂ − y₁)² would use distance Between(1,2,4,6). In this case the method should return 5. In case you forgot, the formula for the distance (d) between two points (X₁,Y₁) and (x2, Y2) is given below: Bullet-proof for value x andy and the program continues until user chooses to stop. Save your program as Distance_yourName.java

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