234/270 and 55/80 can both be simplified to their simplest form, which are 13/15 and 11/16 respectively. Since 15 and 16 don't share any common factors, we can't directly compare their sizes.

To compare them, we need to find a common denominator. The least common multiple of 15 and 16 is 240, so:

13/15 = 208/240 11/16 = 165/240

Now we can clearly see that 234/270 = 13/15 is bigger than 55/80 = 11/16. Therefore, 234/270 is larger than 55/80.


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