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\frac{35}{28}+\frac{36}{28}
Least common multiple of 4 and 7 is 28. Convert \frac{5}{4} and \frac{9}{7} to fractions with denominator 28.
\frac{35+36}{28}
Since \frac{35}{28} and \frac{36}{28} have the same denominator, add them by adding their numerators.
\frac{71}{28}
Add 35 and 36 to get 71.