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\frac{49}{70}+\frac{40}{70}
Least common multiple of 10 and 7 is 70. Convert \frac{7}{10} and \frac{4}{7} to fractions with denominator 70.
\frac{49+40}{70}
Since \frac{49}{70} and \frac{40}{70} have the same denominator, add them by adding their numerators.
\frac{89}{70}
Add 49 and 40 to get 89.