State the following ratios are in proportion or not: 15:18 and 9:12

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Solution

Step 1: Find the smallest form of the ratios
$15 : 18 = \frac{15}{18} = \frac{15 \div 3}{18 \div 3} = \frac{5}{6} = 5 : 6$
$9 : 12 = \frac{9}{12} = \frac{9 \div 3}{12 \div 3} = \frac{3}{4} = 3 : 4$
Step 2: Check the ratios are equal or not
Ratios 15:18 and 9:12 are not equal.
Hence, 15:18 and 9:12 are not in proportion.

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