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\frac{105+5}{7}-\frac{7\times 7+6}{7}
Multiply 15 and 7 to get 105.
\frac{110}{7}-\frac{7\times 7+6}{7}
Add 105 and 5 to get 110.
\frac{110}{7}-\frac{49+6}{7}
Multiply 7 and 7 to get 49.
\frac{110}{7}-\frac{55}{7}
Add 49 and 6 to get 55.
\frac{110-55}{7}
Since \frac{110}{7} and \frac{55}{7} have the same denominator, subtract them by subtracting their numerators.
\frac{55}{7}
Subtract 55 from 110 to get 55.