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Which of the following ratio is smallest?
18:42
19:60
15:47
29:55
19:60
Convert each ratio to a decimal by approximating: 18/42 тЙИ 0.42, 19/60 тЙИ 0.316, 15/47 тЙИ 0.319, 29/55 тЙИ 0.52. Comparing 0.316 and 0.319 reveals the smallest.
Four ratios are provided: 18:42, 19:60, 15:47, and 29:55.
R=baтАЛ
Convert each ratio to a decimal by approximating: 18/42 тЙИ 0.42, 19/60 тЙИ 0.316, 15/47 тЙИ 0.319, 29/55 тЙИ 0.52. Comparing 0.316 and 0.319 reveals the smallest.
Students often assume smaller numerators or larger denominators automatically lead to smaller fractions without checking the cross-multiplication or decimal conversion.
Convert ratios to decimals
Convert each ratio into its decimal equivalent to facilitate direct comparison.
18:42=0.428,19:60=0.316,15:47=0.319,29:55=0.527
Compare decimal values
List the calculated decimals: 0.428, 0.316, 0.319, 0.527. Identify the minimum value among these.
0.316<0.319<0.428<0.527
Identify the smallest ratio
Since 0.316 corresponds to 19:60, it is the smallest ratio.
19:60=0.316
B is correct because the decimal value of 19:60 (тЙИ 0.316) is the lowest among all given options.
This decimal approximation technique is universally applicable for comparing fractions in Data Interpretation (DI) sets during competitive exams.
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