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arrange the following fraction in increasing order

1/8, 3/2, 2/9, 5/6

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3/2 is more than 1
5/6 is just under 1
So, the only two that can cause trouble are 1/8 and 2/9
1/8 = 9/72
2/9 = 16/72

So, the order is clearly

1/8 2/9 5/6 3/2

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