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The common denominator of the two fractions is: 56

$ \frac{2}{7 }= \frac{(2*8)}{(7*8)} =\frac{ 16}{56} $

$ \frac{5}{8 }= \frac{(5*7)}{(7*8)} =\frac{ 35}{56} $

Fractions adjusted to a common denominator

$ \frac{2}{7 }-\frac{ 5}{8 }=\frac{ 16}{56 }-\frac{ 35}{56} $

$ \frac{16}{56 }-\frac{ 35}{56 }= \frac{(16-35)}{56} $

$ \frac{(16-35)}{56 }= -\frac{19}{56} $

$ $

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