In an HDB block, the residents on three different floors are recorded in the ratio 12 : 18 : 30. Express this ratio in its simplest form.
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Worked Solution
Step 1: Find the greatest common factor (GCF) of 12, 18 and 30.
Factors of 12: 1, 2, 3, 4, 6, 12.
Factors of 18: 1, 2, 3, 6, 9, 18.
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30.
GCF = 6.
Step 2: Divide each term by the GCF.
12 ÷ 6 = 2
18 ÷ 6 = 3
30 ÷ 6 = 5
Step 3: Write the simplified three-term ratio.
Ratio in simplest form = 2 : 3 : 5.
Answer: 2 : 3 : 5
Correct answer: 2 : 3 : 5
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