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\frac{40}{84}+\frac{5}{84}
Least common multiple of 21 and 84 is 84. Convert \frac{10}{21} and \frac{5}{84} to fractions with denominator 84.
\frac{40+5}{84}
Since \frac{40}{84} and \frac{5}{84} have the same denominator, add them by adding their numerators.
\frac{45}{84}
Add 40 and 5 to get 45.
\frac{15}{28}
Reduce the fraction \frac{45}{84} to lowest terms by extracting and canceling out 3.