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Which of the following ratio is smallest?
17 : 39
23 : 48
10 : 36
15 : 33
10 : 36
Convert each fraction into decimals by comparing them to common benchmarks (e.g., 0.5 or 0.25). Alternatively, multiply by 100 to compare percentages: A) 43.5%, B) 47.9%, C) 27.7%, D) 45.4%.
Four ratios are provided: A) 17:39, B) 23:48, C) 10:36, D) 15:33.
Ratio=baтАЛ
Convert each fraction into decimals by comparing them to common benchmarks (e.g., 0.5 or 0.25). Alternatively, multiply by 100 to compare percentages: A) 43.5%, B) 47.9%, C) 27.7%, D) 45.4%.
Students often attempt to cross-multiply four large fractions, which is time-consuming and error-prone; direct division or percentage estimation is faster.
Convert ratios to decimals
Convert each ratio a:b into a decimal baтАЛ.
17:39тЙИ0.435,23:48тЙИ0.479,10:36тЙИ0.277,15:33тЙИ0.454
Compare the decimal values
Compare the calculated decimal values: 0.277<0.435<0.454<0.479.
0.277<0.435
Identify the smallest
The value 0.277 corresponding to 10:36 is the smallest among all options.
10:36
C is correct because the decimal value of 10:36 (0.277) is the lowest among the four given ratios.
This technique of estimating decimals is highly effective in DI (Data Interpretation) sets where comparing large fractions quickly is required.
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