Sum of two fractions

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Hint
\(4\frac{1}{8}+2\frac{3}{5}\)
\(=4+\frac{1}{8}+2+\frac{3}{5}\)
\(=6+\frac{1}{8}+\frac{3}{5}\)
\(=6+\frac{1\times{5}}{8\times{5}}+\frac{3\times{8}}{5\times{8}}\)
\(=6+\frac{5}{40}+\frac{24}{40}\)
\(=6+\frac{5+24}{40}\)
\(=6\frac{29}{40}\)
\(=4+\frac{1}{8}+2+\frac{3}{5}\)
\(=6+\frac{1}{8}+\frac{3}{5}\)
\(=6+\frac{1\times{5}}{8\times{5}}+\frac{3\times{8}}{5\times{8}}\)
\(=6+\frac{5}{40}+\frac{24}{40}\)
\(=6+\frac{5+24}{40}\)
\(=6\frac{29}{40}\)