Dividing Fractions

The division of fractions combines several concepts. These worksheets focus on:

1. Converting between fractions and mixed numbers

2. Finding the largest common factor for fraction simplification

3. Applying the keep-change-flip method for fraction division

The keep-change-flip approach, also known as the reciprocal method, is the core strategy for dividing fractions. Here's how it works:

1. Keep the first fraction as is

2. Change the division sign to multiplication

3. Flip the second fraction (find its reciprocal)

This method works because dividing by a fraction is equivalent to multiplying by its reciprocal. 

The Worksheet Sets are as follows

1. Divide two Integers - This is to introduce and practice the keep-change-flip  method in a simple context

You then move step by step as follows

2. Divide an Integer by a Proper Fraction

3. Divide a Proper Fraction by an Integer

4. Divide two Proper Fractions

5. Divide two Fractions - Proper and Improper

The accompanying guide explains the reasoning behind the keep-change-flip strategy, providing context and meaning to the process.

This set of resources will form the basis of a further set of worksheets that focuses on dividing mixed numbers (also called mixed fractions).

How many Worksheets in each Set ?
Almost unlimited At the click of a button all numbers are randomised, so the questions change every time.  This will allow you to create as many new worksheets you will need for practice throughout the year (classwork, homework, revision, fillers etc) or even give small groups of students in your class different sets of questions either at the same level or differentiated. There will certainly be enough to ensure fluency in this topic. 

As these worksheets need little explanation, they are ideal if you need to leave work for a replacement teacher.

Answers can be found on the second page of every worksheet, automatically generated when you create a new worksheet.

Note
These resources are PDF documents and work with the official  Adobe Acrobat Reader on Windows or Mac computers with the randomising buttons also working via a touchscreen (PC or Mac) or on an Interactive Whiteboard.