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\frac{84}{11}\times 3-100
Reduce the fraction \frac{420}{55} to lowest terms by extracting and canceling out 5.
\frac{84\times 3}{11}-100
Express \frac{84}{11}\times 3 as a single fraction.
\frac{252}{11}-100
Multiply 84 and 3 to get 252.
\frac{252}{11}-\frac{1100}{11}
Convert 100 to fraction \frac{1100}{11}.
\frac{252-1100}{11}
Since \frac{252}{11} and \frac{1100}{11} have the same denominator, subtract them by subtracting their numerators.
-\frac{848}{11}
Subtract 1100 from 252 to get -848.