C++ . Write simple code to solve question shown in image. DO NOT use math libraries or any libraries & and please explain each step to help with understanding.

Scientific calculators usually have a dedicated button that, when pressed, converts a floating-point number to its corresponding fractional form. The Farey algorithm is one such method used to convert floating points to fractions. You can find some relevant materials in the hints section. a. [20 points] Write a program that takes in a floating-point number as input and prints out a close fractional form of the given number. Your code should handle irrational numbers as the closest possible fraction. b. [20 points] Draw the algorithm logic for your code using a flowchart representation. Use digital tools (MS Word, PowerPoint or Paint provides flowchart shapes). c. [15 points] Show the Dry run table for an example of your choice, with the relevant variables used