Sum of three fractions

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Hint
\(\frac{1}{5}+\frac{1}{7}+\frac{1}{9}\)
\(=\frac{1\times{63}}{5\times{63}}+\frac{1\times{45}}{7\times{45}}+\frac{1\times{35}}{9\times{35}}\)
\(=\frac{63}{315}+\frac{45}{315}+\frac{35}{315}\)
\(=\frac{63+45+35}{315}\)
\(=\frac{143}{315}\)
\(=\frac{1\times{63}}{5\times{63}}+\frac{1\times{45}}{7\times{45}}+\frac{1\times{35}}{9\times{35}}\)
\(=\frac{63}{315}+\frac{45}{315}+\frac{35}{315}\)
\(=\frac{63+45+35}{315}\)
\(=\frac{143}{315}\)
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