Question

Write these following fractions in order from greatest to least

1/9
1/2
1/8

Answer 1

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`(1)/(9) = (1 * 8)/(9 * 8) = (8)/(72) \\`

`(1)/(2) = (1 * 36)/(2 * 36) = (36)/(72) \\`

`(1)/(8) = (1 * 9)/(8 * 9) = (9)/(72) \\`

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`(8)/(72) < (9)/(72) < (36)/(72) \\`

`(1)/(9) < (1)/(8) < (1)/(2) \\`

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Thus the order from greatest to least is :

`(1)/(2) \: , \: (1)/(8) \: , \: (1)/(9) \\`

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