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\frac{40}{70}+\frac{63}{70}
Least common multiple of 7 and 10 is 70. Convert \frac{4}{7} and \frac{9}{10} to fractions with denominator 70.
\frac{40+63}{70}
Since \frac{40}{70} and \frac{63}{70} have the same denominator, add them by adding their numerators.
\frac{103}{70}
Add 40 and 63 to get 103.