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7 because 6 and 3/4 is written out as 6.75 and when rounding you look at the number after the decimal and if its 5 and above you round up the number youre about to estimate  and if its 5 and below you round down.
7 is close to 6 and 3/4 because 3/4 is close to 1 and 1 + 6 = 7. 

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