Through Java programming

Part 1: Verify point is inside a rectangle Write a program that prompts the user to enter a point (x,y) and checks whether the point is within the rectangle centered at (0,0) with width 10 and height 5 . For example, (2,2) is inside the rectangle and (6, 4) is outside the rectangle, as shown in the figure. (Hint: A point is in the rectangle if its horizontal distance to (0,0) is less than or equal to 10/2 and its vertical distance to (0,0) is less than or equal to 5/2. Here are sample runs of the program: Sample 1: Bnter a point with two coordinates: point (2.0,2.0) is in the rectangle Sample 2: Enter a point with two coordinates: 6 \& Point (6,0,4,0) is not in the rectangle. httip// wwwiltcon lne net/acern//courses/187/b/impropermixed himm. Write a proe am that prompts the user to enter the numerator and denominator of a fraction number and determines whether it is s proper fraction and improper fraction. For an improper fraction number, display its mined fraction in the form of a+b/c if b&c is not zero; otherwise, display only the integer. Here are sample runs of the program: Sample 1: Samper a numerator: 16 Enter a denominator: 3 16/318 an improper fraction and its mixed traction is 5+1/3. Sample 2: Enter a numerator: 6 Enter a denominator: 7 6/7 is a proper fraction Sample 3: Enter a numerator: 6 Enter a denominator: 2 6 / 2 is an improper fraction and it can be reduced to 3