Methods for converting between improper fractions and mixed numbers involve application of basic arithmetic. This will be most successful when students understand the meanings behind the symbols and so can understand the processes, rather than attempting to memorize the processes alone by rote.
Improper fractions and mixed numbers may be thought of in pairs; each improper fraction has an associated, equivalent mixed number.
Use physical or visual models to illustrate fraction ideas with students, then help them to understand how to convert one form into the other. For example:
Instruction about common fractions in elementary school involves simple denominators, such as halves, thirds, fourths, sixths and eighths. Extend the child’s abilities in this topic to more difficult fractions. For example: