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Which of the following ratio is smallest?
20:51
22:47
21:49
28:39
20:51
Convert each ratio to a decimal approximation: 20/51 тЙИ 0.39, 22/47 тЙИ 0.46, 21/49 (or 3/7) тЙИ 0.42, 28/39 тЙИ 0.71. The smallest decimal value is clearly the smallest ratio.
We have four ratios: 20:51, 22:47, 21:49, and 28:39.
Compare┬аbaтАЛ┬аand┬аdcтАЛтЯ║a├Чd┬аvs┬аb├Чc
Convert each ratio to a decimal approximation: 20/51 тЙИ 0.39, 22/47 тЙИ 0.46, 21/49 (or 3/7) тЙИ 0.42, 28/39 тЙИ 0.71. The smallest decimal value is clearly the smallest ratio.
Students often try to find a common denominator for all four numbers, which is time-consuming and prone to arithmetic errors; decimal conversion is faster.
Convert ratios to decimals
To compare the fractions, we divide the numerator by the denominator for each option.
5120тАЛтЙИ0.392,4722тАЛтЙИ0.468,4921тАЛ=73тАЛтЙИ0.428,3928тАЛтЙИ0.717
Evaluate the results
Comparing the decimal values calculated: 0.392<0.428<0.468<0.717.
0.392┬аis┬аthe┬аminimum┬аvalue.
Final Verification
Since 0.392 corresponds to the ratio 5120тАЛ, it is the smallest among the given options.
5120тАЛ<4921тАЛ<4722тАЛ<3928тАЛ
A is correct because the ratio 20:51 yields the lowest decimal value of approximately 0.392 compared to the others.
This decimal comparison technique is highly effective for Data Interpretation (DI) questions in competitive exams where you need to quickly rank percentages or growth rates.
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