SSAT Math Question 136: Answer and Explanation

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Question: 136

12. When the fractions 39287.png, 392771.png, 39267.png, and 392571.png are arranged in ascending order of size, the result is

  • A. 39246.png, 39234.png, 39225.png, 39213.png
  • B. 39203.png, 39192.png, 39183.png, 39170.png
  • C. 39161.png, 39151.png, 39140.png, 39130.png
  • D. 391201.png, 39110.png, 39098.png, 39087.png

Correct Answer: D

Explanation:

The correct answer is (D). Fractions are most easily compared by comparing cross-products. Start by comparing 38427.png with 38418.png. The product of 3 and 5 is 15. The product of 7 and 2 is 14. Therefore, 38407.png is larger than 38397.png.
Continue this process with the other fractions to be compared.

38387.png, note 383761.png > 38362.png and also 38351.png > 38340.png 38331.png, note 38321.png > 38310.png

38301.png, note 38290.png > 38281.png and also 38271.png < 38259.png

Therefore, 38247.png < 38237.png < 38224.png < 38215.png.

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