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\frac{343}{448}-\frac{64}{448}
Least common multiple of 64 and 7 is 448. Convert \frac{49}{64} and \frac{1}{7} to fractions with denominator 448.
\frac{343-64}{448}
Since \frac{343}{448} and \frac{64}{448} have the same denominator, subtract them by subtracting their numerators.
\frac{279}{448}
Subtract 64 from 343 to get 279.