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\frac{15}{14}-\frac{8}{14}
Least common multiple of 14 and 7 is 14. Convert \frac{15}{14} and \frac{4}{7} to fractions with denominator 14.
\frac{15-8}{14}
Since \frac{15}{14} and \frac{8}{14} have the same denominator, subtract them by subtracting their numerators.
\frac{7}{14}
Subtract 8 from 15 to get 7.
\frac{1}{2}
Reduce the fraction \frac{7}{14} to lowest terms by extracting and canceling out 7.