Event & Sequential-Driven Programming Quick Check 5 of 55 of 5 Items Question A group of students wants to develop a calculator to reduce a fraction. The steps to do so are laid out in their math book as follows: Express both the numerator (top number) and denominator (bottom number) as a product of their prime factors. Strike out any common factors. Multiply the remaining numbers to obtain the reduced numerator and denominator. Which of the following elements would be appropriate to use in the algorithm? (1 point) Responses two queues to pop out the prime factors for comparison two queues to pop out the prime factors for comparison two stacks to pop out the prime factors for comparison two stacks to pop out the prime factors for comparison a queue and a stack to pop out the prime factors for comparison a queue and a stack to pop out the prime factors for comparison two lists to hold the prime factors for comparison two lists to hold the prime factors for comparison Skip to navigation page 9 of 9

1 answer

To reduce a fraction using the method described, the algorithm needs to compare the prime factors of the numerator and the denominator to identify and remove common factors.

The two most relevant and suitable data structures for this task would be:

  • Two lists to hold the prime factors for comparison: This allows for straightforward storage and traversal of the factors, making it easy to compare the factors of the numerator and the denominator.

Using lists to hold the prime factors allows you to later iterate through both lists to identify common factors easily. After identifying the common factors, you can create the reduced numerator and denominator by removing these common factors.

Considering the provided options and the task requirements, the best response would be:

two lists to hold the prime factors for comparison.