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\frac{7}{56}+\frac{100}{56}
Least common multiple of 8 and 14 is 56. Convert \frac{1}{8} and \frac{25}{14} to fractions with denominator 56.
\frac{7+100}{56}
Since \frac{7}{56} and \frac{100}{56} have the same denominator, add them by adding their numerators.
\frac{107}{56}
Add 7 and 100 to get 107.