SAT Math

Category - Number and Operations

Which of the following fractions is the greatest?
  1. 19/36
  2. 4/9
  3. 5/8
  4. 3/7
  5. 2/5
Explanation
Answer: C - The greatest fraction is 5/8. If the numerator is more than twice less than denominator, then the fraction is less than 1/2. So, we compare 19/36,4/9 and 5/8. The common denominator for 36, 9, and 8 is 72.
19/36 = 〖19/36〗^(×2) = 38/72
4/9 = 〖4/9〗^(×8) = 32/72
5/8 = 〖5/8〗^(×9) = 45/72

Therefore, the greatest fraction is 5/8.
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