Ihave three fractions (9/10, 2/3, 2/4), i know that the order from largest to smallest is 9/10, 2/3, 2/4, but how do i actually go about figuring out why its in that order without just looking at it or using graphs?

Step-by-step explanation:

To compare fractions, they need to have the same denominator.  So you need to find the least common multiple (LCM) of 10, 3, and 4.

To find the LCM, first write the prime factorizations.

3 = 3

4 = 2²

10 = 2×5

The LCM is the product of each factor raised to its highest exponent.

LCM = 2²×3×5

LCM = 60

Now we rewrite each fraction with this new denominator.

9/10 = 54/60

2/3 = 40/60

2/4 = 30/60

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