8/9 is the larger. 8/9 - 7/8 = 64 /72 - 63/72 = 1/72.
[ 8 7 = 8 ⋅ 9 7 ⋅ 9 = 72 63 9 8 = 9 ⋅ 8 8 ⋅ 8 = 72 64 72 63 < 72 64 → 8 7 < 9 8
To determine which is larger between 8 7 and 9 8 , we can convert both fractions to a common denominator of 72. After conversion, we find that 8 7 = 72 63 and 9 8 = 72 64 , showing that 9 8 is larger than 8 7 .
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