Adding and subtracting fractions

Start with common denominators

The note “Adding and Subtracting Fractions” introduces the need for a common denominator and gives an example with different denominators. For a shorter process to follow, the mind map on adding and subtracting fractions with common denominators sets out how to work with the numerators and simplify the answer if needed.

Begin with the common-denominator map, then read the note’s example to see how the approach applies when denominators differ. The flashcard deck on common denominators offers another format for studying the same part of the topic.

Work with different denominators

A mind map on adding fractions with different denominators starts by finding multiples and looking for a common denominator. The note “Different Denominators” and a flashcard deck on adding and subtracting without common denominators are also listed. They give you places to continue studying this part of the topic.

“Fractions Flow Chart” lays out a route through the calculation. It asks whether you are adding or subtracting, then points to finding a common denominator and working out the sum or difference of the numerators. It also asks whether the numerator is larger than the denominator.

Use quizzes alongside maps

After studying a map, try “Adding Fractions”. Its questions include finding sums and writing answers in simplest form or as mixed numbers. Other quizzes include subtraction with like denominators and a rainfall question. A mind map on adding and subtracting fractions with mixed numbers is available too.

When a question is difficult, return to the relevant map or flowchart and follow the steps before trying another calculation. Teachers can use the range of formats to find material for explaining a process or providing practice.

Place the topic in its unit

Adding and subtracting fractions is a section of the Fractions unit in Mathematics. This page brings its resources together, so you can move between explanations, visual steps and questions without leaving the topic. Choose a resource and use it to guide your next practice session.