Sum of three fractions

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Hint
\(\frac{1}{5}+\frac{1}{4}+\frac{1}{6}\)
\(=\frac{1\times{12}}{5\times{12}}+\frac{1\times{15}}{4\times{15}}+\frac{1\times{10}}{6\times{10}}\)
\(=\frac{12}{60}+\frac{15}{60}+\frac{10}{60}\)
\(=\frac{12+15+10}{60}\)
\(=\frac{37}{60}\)
\(=\frac{1\times{12}}{5\times{12}}+\frac{1\times{15}}{4\times{15}}+\frac{1\times{10}}{6\times{10}}\)
\(=\frac{12}{60}+\frac{15}{60}+\frac{10}{60}\)
\(=\frac{12+15+10}{60}\)
\(=\frac{37}{60}\)