Find the range of \(\frac{1}{6}\), \(\frac{1}{3}\), \(\frac{3}{2}\), \(\frac{2}{3}\), \(\frac{8}{9}\), and \(\frac{4}{3}\)

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Mathematics JAMB 2001

Find the range of \(\frac{1}{6}\), \(\frac{1}{3}\), \(\frac{3}{2}\), \(\frac{2}{3}\), \(\frac{8}{9}\), and \(\frac{4}{3}\)

  • 3/4
  • 5/6
  • 7/6
  • 4/3 checkmark

The correct answer is: D

Explanation

1/6, 1/3, 3/2, 2/3, 8/9 and 4/3
L.C.M of the denominators = 36
The fraction now becomes
6/36, 12/36, 54/36, 24/36, 32/36 and 48/36
Highest fraction = 54/36
Lowest fraction = 6/36
Range = Highest - Lowest
(54/36) - (6/36)
= 48/36
= 4/3

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