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\frac{6+1}{3}+\frac{16}{18}
Multiply 2 and 3 to get 6.
\frac{7}{3}+\frac{16}{18}
Add 6 and 1 to get 7.
\frac{7}{3}+\frac{8}{9}
Reduce the fraction \frac{16}{18} to lowest terms by extracting and canceling out 2.
\frac{21}{9}+\frac{8}{9}
Least common multiple of 3 and 9 is 9. Convert \frac{7}{3} and \frac{8}{9} to fractions with denominator 9.
\frac{21+8}{9}
Since \frac{21}{9} and \frac{8}{9} have the same denominator, add them by adding their numerators.
\frac{29}{9}
Add 21 and 8 to get 29.