Use this rule: \(a \times \frac{b}{c}=\frac{ab}{c}\).
\[25-\frac{3}{7}\times 7+(\frac{12\times 23}{25}-4\times \frac{2}{5})\times 25+125\times 357\times 0.008\]
Simplify \(12\times 23\) to \(276\).
\[25-\frac{3}{7}\times 7+(\frac{276}{25}-4\times \frac{2}{5})\times 25+125\times 357\times 0.008\]
Use this rule: \(a \times \frac{b}{c}=\frac{ab}{c}\).
\[25-\frac{3}{7}\times 7+(\frac{276}{25}-\frac{4\times 2}{5})\times 25+125\times 357\times 0.008\]
Simplify \(4\times 2\) to \(8\).
\[25-\frac{3}{7}\times 7+(\frac{276}{25}-\frac{8}{5})\times 25+125\times 357\times 0.008\]
Simplify \(\frac{276}{25}-\frac{8}{5}\) to \(\frac{236}{25}\).
\[25-\frac{3}{7}\times 7+\frac{236}{25}\times 25+125\times 357\times 0.008\]
Cancel \(7\).
\[25-3+\frac{236}{25}\times 25+125\times 357\times 0.008\]
Cancel \(25\).
\[25-3+236+125\times 357\times 0.008\]
Simplify \(125\times 357\) to \(44625\).
\[25-3+236+44625\times 0.008\]
Simplify \(44625\times 0.008\) to \(357\).
\[25-3+236+357\]
Simplify \(25-3\) to \(22\).
\[22+236+357\]
Simplify \(22+236\) to \(258\).
\[258+357\]
Simplify.
\[615\]
615
