Question

$$25- \frac{ 3 }{ 7 } \times 7+( 12 \frac { 23 } { 25 } - 4 \frac { 2 } { 5 } ) \times 25+125 \times 357 \times 0,008=$$

Answer

258,008

Solution


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  \(125\times 357\times 0\)  to  \(0\).
\[25-3+236+0,008\]
Simplify  \(25-3\)  to  \(22\).
\[22+236+0,008\]
Simplify  \(22+236\)  to  \(258\).
\[258+0,008\]
Simplify  \(258+0\)  to  \(258\).
\[258,008\]