Here is a fraction: 4/8. What is the simplest way you could write the same amount? Have a think before any hands go up.
Take three hands-up answers, not open call-outs. Give five seconds of quiet think-time first. Don't confirm or correct yet — just collect what pupils offer (some will say ½, some will leave it as 4/8). We settle it on the strips next.
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.
Point to the matching lengths on both strips first, so pupils see the amount stays the same, then find the dividing number before the answer lands.
4/8: ask what number divides into both 4 and 8; let a pupil name 4. Divide top and bottom by 4 (4 into 4 once, into 8 twice) to reach 1/2.
6/9: pupils often try 2 here; draw out that 9 is not even. 3 works: 3 into 6 twice, into 9 three times, giving 2/3.
12/16: biggest factor is 4, giving 3/4. Some divide by 2 to reach 6/8, which is correct but not finished, revoice as still room to go smaller.
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.
This round is for talking it through together — pupils take turns at the board and the class agrees or corrects out loud.
Bring an individual pupil up to shade 4/8, then 2/4, then ½ and let the class watch them line up. Ask which one is in simplest form and how they know. Then have pupils build 8/12 and 10/12 on the twelfths strip in turn, clearing the shading between the two, for the class to simplify aloud.
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.
This is whole-class copybook practice done together now, not marking. Walk the room and glance for the ÷ step written out and the simplest form underlined. Watch for pupils who divide by a factor that is too small (e.g. 12/16 ÷2 = 6/8) and prompt them to keep going to the biggest factor.
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.
These are the practice questions — pupils take turns at the board, check each answer, and the class confirms before moving on. Keep the board work brisk rather than over-explaining.
For 6/8 and 9/12 the class will spot both land on ¾ — a nice talking point. For 24/36 push pupils toward the biggest common factor (12) rather than chipping down by 2 then 2 then 3. The last one is the catch: 7 is prime and shares no factor with 12, so 7/12 is already simplest. Press 'how do you know it won't go smaller?'
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?
Listen for pupils naming the greatest common factor in their own words ('the biggest number that goes into both'). Revoice a strong answer: 'so if we spot the biggest one first, we finish in a single step instead of three'. Head off the idea that you can only ever divide by 2 — draw out that the right factor depends on the numbers.
Next we will compare two fractions to decide which is bigger, using common denominators and benchmarks like one half.
Recap the divide-top-and-bottom rule one last time and link forward: simplest form makes comparing fractions easier, which is the next lesson.
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