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.