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Simplifying the ratio 20:32 to 5:8 by dividing both terms by 4.

A diagram showing the simplification of the ratio 20:32 to 5:8 by dividing both numbers by 4, indicated with arrows and text boxes.

A diagram showing the simplification of the ratio 20:32 to 5:8 by dividing both numbers by 4, indicated with arrows and text boxes.

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Show Answer Key & Explanations Step-by-step solution for: Simplifying Ratios - GCSE Maths - Steps, Examples & Worksheet
To solve this problem, we need to simplify the ratio $20 : 32$ by dividing both numbers by their greatest common divisor, which is shown as $4$ in the diagram.

Step 1: Divide the first number by 4
Take the first number in the ratio, which is $20$.
$$20 \div 4 = 5$$

Step 2: Divide the second number by 4
Take the second number in the ratio, which is $32$.
$$32 \div 4 = 8$$

Step 3: Write the new ratio
Combine the results from Step 1 and Step 2 to form the simplified ratio.
The new ratio is $5 : 8$.

This matches the result shown at the bottom of the image. The process shows that $20 : 32$ simplifies to $5 : 8$.

Final Answer:
5 : 8
Parent Tip: Review the logic above to help your child master the concept of simplifying ratios worksheet.
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