I use this interactive engaging activity after teaching different strategies for decomposing fractions (CC NF.3b)!
Students can fill in four of their own fractions or you can assign fractions. (I usually put parameters on the fractions that students write...for example all proper and all denominators 12 or less...but you can change to make it more or less challenging depending on your students!)
Then students move around the classroom to find a classmate who can decompose the fraction in one way. The students exchange papers, decompose a fraction in one way (or more if you want), students check each other's work, then students continue moving around the classroom trying to complete their table.
Very fun! Very engaging! And students get a lot of practice with decomposing fractions!