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\frac{49}{56}-\frac{48}{56}
Least common multiple of 8 and 7 is 56. Convert \frac{7}{8} and \frac{6}{7} to fractions with denominator 56.
\frac{49-48}{56}
Since \frac{49}{56} and \frac{48}{56} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{56}
Subtract 48 from 49 to get 1.