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Step 1: Write the numbers, in the order you have them, as fractions: 3/10, 1/7 and 1/4

Step 2: Write the denominators (bottom bits of these fractions) IN ORDER: 10, 7 and 4

Step 3: Multiply each numerator (top bit of the fraction) by the other denominators of all the other fractions: so 3*7*4, 1*10*4 and 1*10*7 which are 84, 40 and 70.

Step 4: Order these and transfer the order to the original numbers.

So the order is 40 (second position), 70 (third position), 84 (first position)

The fractions in increasing are 1/7 , 1/4 and 3/10

In fact the three fractions are: 3/10 = 84/280, 40/280 and 70/280 but it is simpler to work without the "/280"

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