Sum of three fractions
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Hint
\(2\frac{1}{9}+3\frac{1}{7}+5\frac{1}{4}\)
\(=2+\frac{1}{9}+3+\frac{1}{7}+5+\frac{1}{4}\)
\(=10+\frac{1}{9}\frac{1}{7}\frac{1}{4}\)
\(=10+\frac{1\times{28}}{9\times{28}}+\frac{1\times{36}}{7\times{36}}+\frac{1\times{63}}{4\times{63}}\)
\(=10+\frac{28}{252}+\frac{36}{252}+\frac{63}{252}\)
\(=10+\frac{28+36+63}{252}\)
\(=10+\frac{127}{252}\)
\(=10\frac{127}{252}\)
\(=2+\frac{1}{9}+3+\frac{1}{7}+5+\frac{1}{4}\)
\(=10+\frac{1}{9}\frac{1}{7}\frac{1}{4}\)
\(=10+\frac{1\times{28}}{9\times{28}}+\frac{1\times{36}}{7\times{36}}+\frac{1\times{63}}{4\times{63}}\)
\(=10+\frac{28}{252}+\frac{36}{252}+\frac{63}{252}\)
\(=10+\frac{28+36+63}{252}\)
\(=10+\frac{127}{252}\)
\(=10\frac{127}{252}\)
