Mathematics
Intermediate
39 mins
Teacher/Student led
+80 XP
What you need:
IWB/Projector/Large Screen

Simplifying Fractions

Learn to simplify fractions by dividing the top and bottom by common factors. Use fraction strips to see that 4/8, 2/4 and ½ all show the same amount, then practise writing fractions in their simplest form.

Teacher Class Feed

Load previous activity

    1 - Getting Started ~4 mins

    Illustration for Getting StartedHere is a fraction: 4/8. What is the simplest way you could write the same amount? Have a think before any hands go up.

    2 - Watch and Notice ~9 mins

    Two fraction strips sit one above the other in each example. Watch how the shaded lengths match even though the number of pieces is different. Look for a number that divides into both the top and the bottom.

    3 - Try It Together ~11 mins

    Let's stack 4/8, 2/4 and ½ on the fraction strips and watch where they all reach the same length. The 2/4 strip is a halfway step between 4/8 and ½. After that we will build 8/12 and 10/12 on the twelfths strip together and decide each one's simplest form as a class.

    Stack them and check

    4 - Work the Divide Step in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, work each simplification by writing the divide-by step underneath. For example: 4/8 ÷4/4 = ½. Underline the simplest form on each one.

    • 4/8
    • 6/9
    • 10/15
    • 12/16

    5 - Class Challenge ~7 mins

    Let's work through four fractions together. Simplify 6/8, then 9/12, then 24/36, and finally decide whether 7/12 is already in its simplest form. Build each one on the strips and check it against its simplest form.

    Simplify and check

    6 - What Did We Notice? ~2 mins

    MATHS TALK

    When we simplified, what was the biggest number we could divide the top and bottom by each time? That biggest number has a name: the greatest common factor — the biggest number that goes into both the top and the bottom. Why is finding it faster than dividing a little at a time?

    7 - What's Next ~3 mins

    What we learned today

    • A fraction is in its simplest form when the top and bottom share no common factor bigger than 1.
    • We simplify by dividing the top and bottom by the same number.
    • Finding the greatest common factor gets us there in one step.
    Coming up

    Next we will compare two fractions to decide which is bigger, using common denominators and benchmarks like one half.

    Pupil practice
    Module 3 · Fractions, Decimals and Percentages Number
    Lesson 32 · Simplifying Fractions
    Download Activity Book page (PDF)
    End of lesson
    123learn · Online learning platform

    Unlock the full learning experience

    You're previewing this lesson. Get full access to this lesson and hundreds more — each one ready to teach, with interactive activities, printable resources and pupil progress tracking built in.

    Hundreds of curriculum-aligned lessons
    Interactive activities in every lesson
    Printable resources & progress tracking
    Copyright Notice
    This lesson is copyright of Coding Ireland 2017 - 2025. Unauthorised use, copying or distribution is not allowed.
    🍪 Our website uses cookies to make your browsing experience better. By using our website you agree to our use of cookies. Learn more