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\frac{\left(t-4\right)\times 16}{20\left(t+1\right)}
Divide \frac{t-4}{20} by \frac{t+1}{16} by multiplying \frac{t-4}{20} by the reciprocal of \frac{t+1}{16}.
\frac{4\left(t-4\right)}{5\left(t+1\right)}
Cancel out 4 in both numerator and denominator.
\frac{4t-16}{5\left(t+1\right)}
Use the distributive property to multiply 4 by t-4.
\frac{4t-16}{5t+5}
Use the distributive property to multiply 5 by t+1.
\frac{\left(t-4\right)\times 16}{20\left(t+1\right)}
Divide \frac{t-4}{20} by \frac{t+1}{16} by multiplying \frac{t-4}{20} by the reciprocal of \frac{t+1}{16}.
\frac{4\left(t-4\right)}{5\left(t+1\right)}
Cancel out 4 in both numerator and denominator.
\frac{4t-16}{5\left(t+1\right)}
Use the distributive property to multiply 4 by t-4.
\frac{4t-16}{5t+5}
Use the distributive property to multiply 5 by t+1.