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Which of the following numbers is the greatest?

A. \(\frac{1876452}{1876455}\) B. \(\frac{1883446}{1883449}\) C. \(\frac{1883453}{1883456}\) D. \(\frac{1883456}{1883459}\) E. \(\frac{1883491}{1883494}\)

A. \(\frac{1876452}{1876455}\) B. \(\frac{1883446}{1883449}\) C. \(\frac{1883453}{1883456}\) D. \(\frac{1883456}{1883459}\) E. \(\frac{1883491}{1883494}\)

You have to notice that the difference between a numerator and denominator of any fraction equals 3. Thus, the greater the numerator/denominator, the greater the fraction. In this case, the greatest numerator is in the fifth fraction.

A. \(\frac{1876452}{1876455}\) B. \(\frac{1883446}{1883449}\) C. \(\frac{1883453}{1883456}\) D. \(\frac{1883456}{1883459}\) E. \(\frac{1883491}{1883494}\)

You have to notice that the difference between a numerator and denominator of any fraction equals 3. Thus, the greater the numerator/denominator, the greater the fraction. In this case, the greatest numerator is in the fifth fraction.

Answer: E

Hi If differnce in numerator and denominator is fixed then we have to just look at numerator?

I had to quickly test the theory being asked with other numbers to remind myself.

1/2 is smaller than 2/3 is smaller than 5/6 is smaller than 50/51. So since the different between the numerator and denominator is always 3, E is the biggest number and thus the closest number to 1.

With the above rule in mind, try hitting the options. Apply it to any 2 options you like. You can conclude that, sum of numerator and denominator matters.{ ( A + B ) from above and ( A - B ) is always 3 } Henceforth, the option with largest numerator and denominator will be our answer.

Hope you understood!

Cheers, Harry Hit kudos if you like this approach!