\(\frac{677\times874+251}{678\times874-623}\)\(=\frac{677\times874+251}{\left(677+1\right)\times874-623}\)\(=\frac{677\times874+251}{677\times874+1\times874-623}\)\(=\frac{677\times874+251}{677\times874+874-623}=\frac{677\times874+251}{677\times874+251}=1\)
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\(\frac{677.874+251}{678.874-623}\)
\(=\frac{677.874+251}{\left(677+1\right).874-623}\)
\(=\frac{677.874+251}{677.874-1.874-623}\)
\(=\frac{677.874+251}{677.874+874-623}\)
\(=\frac{677.874+251}{677.874+251}\)
\(=1\)
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