Showing these equivalents for frequently used fractions helps to build up a visual memory that students can recall when they use standard methods from the texts to write equivalent fractions.
These questions help students get a sense of the size of different fractions. Ask, "How do you know this is in the right place?"
By using the skills from the previous two examples, students can do this question without having to change everything to a common denominator. 1/12 is less than half, 7/8 is more than half, 3/3 is equal to 1 and 5/4 is larger than 1. Nice to show that an understanding of fractions can help students do mentally what would take a lot of work and the possibility of many errors to do by the standard method of changing to a common denominator.
For example: 2⁄4 = 1⁄2
This skill can help with estimating answers to addition and subtraction questions before you do them, or with making a quick check to see if an answer is reasonable after doing an adding or subtracting question. Ask, "How do you know your answer is right?"
Students may use these demonstrations as a way of understanding whatever algorithm they use to do questions of these types.