Math CentralQuandaries & Queries


Question from Joy, a student:

what are the orders of these fractions?
2/3, 1/2, 1/4, 2/10, 3/4, 1/3, 9/10, 2/2.

... please and thank you.

Hi Joy,

Andrew asked a similar question a while ago with three fractions. You can look at my answer to him o see how I suggested he solve the problem. The key is to express each fraction with a common denominator. In your case the denominators are 3, 2, 4 = 22 and 10 = 2 × 5. The least possible common denominator thus needs a three, 2 twos, and a five, Thus the least common denominator is 3 × 22 × 5.

Can you complete the problem now,

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