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\frac{10+5}{10}+\frac{1\times 10+6}{10}
Multiply 1 and 10 to get 10.
\frac{15}{10}+\frac{1\times 10+6}{10}
Add 10 and 5 to get 15.
\frac{3}{2}+\frac{1\times 10+6}{10}
Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.
\frac{3}{2}+\frac{10+6}{10}
Multiply 1 and 10 to get 10.
\frac{3}{2}+\frac{16}{10}
Add 10 and 6 to get 16.
\frac{3}{2}+\frac{8}{5}
Reduce the fraction \frac{16}{10} to lowest terms by extracting and canceling out 2.
\frac{15}{10}+\frac{16}{10}
Least common multiple of 2 and 5 is 10. Convert \frac{3}{2} and \frac{8}{5} to fractions with denominator 10.
\frac{15+16}{10}
Since \frac{15}{10} and \frac{16}{10} have the same denominator, add them by adding their numerators.
\frac{31}{10}
Add 15 and 16 to get 31.