Challenge question: simplifying ratios to simplest form
22 October 2026
When your child faces a challenge question in ratios, it can seem tricky at first. The key is to break the problem into small, clear steps so they feel confident working towards the answer.
Worked example
Simplify the ratio 48:60 to its simplest form.
Step 1: Find the highest common factor (HCF) of 48 and 60.
The HCF of 48 and 60 is 12.
Step 2: Divide both numbers by 12.
48 ÷ 12 = 4
60 ÷ 12 = 5
Step 3: Write the simplest form.
The simplest form of 48:60 is 4:5.
Key insight: Dividing both parts of a ratio by their highest common factor keeps the ratio the same but makes it easier to understand.
| Step | Value for 48 | Value for 60 |
|---|---|---|
| Original | 48 | 60 |
| Divide by 12 | 4 | 5 |
After seeing this example, your child will know how to spot the highest common factor and use it to simplify any ratio. This is the same approach they will use for similar challenge maths.com questions in the 11+ exam.
