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\frac{16+2}{4}+\frac{8\times 10+7}{10}
Multiply 4 and 4 to get 16.
\frac{18}{4}+\frac{8\times 10+7}{10}
Add 16 and 2 to get 18.
\frac{9}{2}+\frac{8\times 10+7}{10}
Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.
\frac{9}{2}+\frac{80+7}{10}
Multiply 8 and 10 to get 80.
\frac{9}{2}+\frac{87}{10}
Add 80 and 7 to get 87.
\frac{45}{10}+\frac{87}{10}
Least common multiple of 2 and 10 is 10. Convert \frac{9}{2} and \frac{87}{10} to fractions with denominator 10.
\frac{45+87}{10}
Since \frac{45}{10} and \frac{87}{10} have the same denominator, add them by adding their numerators.
\frac{132}{10}
Add 45 and 87 to get 132.
\frac{66}{5}
Reduce the fraction \frac{132}{10} to lowest terms by extracting and canceling out 2.