In this tutorial students will learn why we multiply by the reciprocal when dividing fractions. The students will learn how to convert a complex fraction into a proper/improper fraction and just simplify. Students will use their current knowledge on equivalent fractions to make the connection.
The basic idea can be summarized using these basic steps.
- Find a multiple that will make the denominator of the complex fraction 1.
- That multiple will always be the reciprocal.
- Recall how to find an equivalent fraction.
- Multiply the reciprocal with the numerator and denominator of the complex fraction.
- This creates an equivalent fraction.
- This also eliminates the denominator of the complex fraction.
- The complex fraction can now be written as a proper fraction.
- Simplify the proper fraction if possible.
Click on the link to this tutorial to see how this is accomplished with a model.