 # How to Add Fractions (and Multiply and Divide Fractions)

26th September, 2023 When I teach how to add and subtract fractions, I start with explanations of equivalent fractions and how to simplify them.

Moving on from that, I look at multiplying and dividing fractions – which is easier than adding and subtracting!

## Equivalent Fractions and Simplifying Fractions

### Equivalent Fractions

If you multiply or divide the numerator and denominator by the same number you have an equivalent fraction.

Whatever you do to the top, you do to the bottom ### Simplifying Fractions

If you can divide the top and bottom by the same number, you can simplify the fraction. ## How to Multiply Fractions

### Multiply Fractions ### Multiply Fractions – Multiply tops and bottoms

First multiply the numerators together then do the same for the denominators. ### Multiply Fractions – Simplify Fraction

If needed, reduce the fraction to its lowest form: divide the numerator and the denominator by the same number. ## How to Divide Fractions

### Divide Fractions – change to a multiply question

To divide fractions, we change it to a multiply question, using “K.F.C.” – Keep, Flip, Change.

• Keep the first fraction
• Flip the numbers on the second fraction
• Change the question to a multiplication ### Divide Fractions – Multiply

Now that we have changed the question to a multiplication, do as before for multiplying. Multiply the numerators together then do the same for the denominators. ### Divide Fractions – Simplify Fraction

If needed, reduce the fraction to its lowest form: divide the numerator and the denominator by the same number. ## How to Add and Subtract Fractions

### How to Add and Subtract Fractions – when the denominators are the same

The denominators remain the same, simply add or subtract the numerators to find the sum of the fractions. ### How to Add and Subtract Fractions – when the denominators are different

Change to equivalent fractions with common denominators, then add or subtract.

And what’s the best common denominator to use? The one that is the lowest common multiple of the two denominators.

e.g. the lowest common multiple of 3 and 4 is 12. The lowest common multiple of 2 and 5 is 10. ## Printable revision guides on How to Simplify Fractions, How to Add / Subtract Fractions, How to Multiply Fractions and How to Divide Fractions

Revision guide on How to Simplify Fractions.

Revision guide on How to Multiply Fractions.

Revision guide on How to Divide Fractions.

Revision guide on How to Add / Subtract Fractions.