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5/8 is the same as having five 1/8s,

ie 5/8 = 1/8 + 1/8 + 1/8 + 1/8 + 1/8

6/8 is the same as having six 1/8s,

ie 6/8 = 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8

= (1/8 + 1/8 + 1/8 + 1/8 + 1/8) + 1/8

= 5/8 + 1/8

ie 6/8 is 5/8 plus and extra 1/8 which is 5/8 plus something (positive), thus it must be greater than 5/8

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Q: Why is 6 over 8 greater than 5 over 8?
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