Fractions: Decompose and Recompose

Objective

Students will decompose a fraction and then recompose the pieces until they're back to the starting point.

I wrote this app to make it easy for you (or your students!) to check if two sets of fractions are equivalent.

Steps

1. Students decompose 1/8 into three fractions.
2. They'll recompose five fractions into two fractions and then recompose those back to our original fraction.
3. Students can then pick their own starting point and create their own path as they decompose and then recompose back to that first fraction.
4. Students can use the fraction equivalence app to check their sets of fractions.

Resources

• Decompose Worksheet - Version A (PDF) The most structured version.
• Decompose Worksheet - Version A (Google Slides)
• Decompose Worksheet - Version B (PDF) A little less structure.
• Decompose Worksheet - Version B (Google Slides)
• Decompose Worksheet - Version C (PDF) Even less structure!
• Decompose Worksheet - Version C (Google Slides)
• Proof Paper (PDF) For showing work.
• Proof Paper (Google Slides)