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\frac{4}{4}-\frac{1}{4}-\left(-4\right)
Convert 1 to fraction \frac{4}{4}.
\frac{4-1}{4}-\left(-4\right)
Since \frac{4}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.
\frac{3}{4}-\left(-4\right)
Subtract 1 from 4 to get 3.
\frac{3}{4}+4
The opposite of -4 is 4.
\frac{3}{4}+\frac{16}{4}
Convert 4 to fraction \frac{16}{4}.
\frac{3+16}{4}
Since \frac{3}{4} and \frac{16}{4} have the same denominator, add them by adding their numerators.
\frac{19}{4}
Add 3 and 16 to get 19.