Discussion
Find the greatest from the following options :
14.28% of 700, 11.11% of 819, 9.09% of 704, 6.25% of 960
Answer: A
The greatest is 14.28% of 700.
Each percentage is close to a simple fraction:
\[ \begin{aligned} 14.28\% \times 700 &\approx \tfrac{1}{7} \times 700 = 100 \\ 11.11\% \times 819 &\approx \tfrac{1}{9} \times 819 = 91 \\ 9.09\% \times 704 &\approx \tfrac{1}{11} \times 704 = 64 \\ 6.25\% \times 960 &= \tfrac{1}{16} \times 960 = 60 \end{aligned} \]
Knowing these fraction equivalents makes the comparison quick: 100 is clearly the largest.
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