Sum of two fractions

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\(3\frac{3}{7}+4\frac{2}{5}=?\)
\(7\frac{3}{35}\)
\(7\frac{2}{35}\)
\(7\frac{9}{35}\)
\(7\frac{19}{35}\)
\(7\frac{29}{35}\)

Calculator
Hint \(3\frac{3}{7}+4\frac{2}{5}\)
\(=3+\frac{3}{7}+4+\frac{2}{5}\)
\(=7+\frac{3}{7}+\frac{2}{5}\)
\(=7+\frac{3\times{5}}{7\times{5}}+\frac{2\times{7}}{5\times{7}}\)
\(=7+\frac{15}{35}+\frac{14}{35}\)
\(=7+\frac{15+14}{35}\)
\(=7+\frac{29}{35}\)
\(=7\frac{29}{35}\)
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