Arrange the following in descending order: 2/9, 2/3, 8/21

JAMB Mathematics 2024 197 views
Source: JAMB · 2024

Arrange the following in descending order: 2/9, 2/3, 8/21

  1. 2/9 > 2/3 > 8/21
  2. 2/3 > 2/9 > 8/21
  3. 8/21 > 2/3 > 2/9
  4. 2/3 > 8/21 > 2/9 ✓
Explanation

Give all three fractions the same denominator. The lowest common denominator of 9, 3 and 21 is 63.

2/3 = 42/63, 8/21 = 24/63, 2/9 = 14/63.

In descending order (biggest first): 42/63 > 24/63 > 14/63. So 2/3 > 8/21 > 2/9.

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