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\frac{8+1}{4}+\frac{4}{5}\times \frac{5}{16}
Multiply 2 and 4 to get 8.
\frac{9}{4}+\frac{4}{5}\times \frac{5}{16}
Add 8 and 1 to get 9.
\frac{9}{4}+\frac{4\times 5}{5\times 16}
Multiply \frac{4}{5} times \frac{5}{16} by multiplying numerator times numerator and denominator times denominator.
\frac{9}{4}+\frac{4}{16}
Cancel out 5 in both numerator and denominator.
\frac{9}{4}+\frac{1}{4}
Reduce the fraction \frac{4}{16} to lowest terms by extracting and canceling out 4.
\frac{9+1}{4}
Since \frac{9}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.
\frac{10}{4}
Add 9 and 1 to get 10.
\frac{5}{2}
Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.