Solve 0.4055*21-67*313+0.1253*2986*285/0*4055*21.07+0.1253*20*86

$$\frac{ 0.4055 \cdot 21-67 \cdot 313+0.1253 \cdot 2986 \cdot 285 }{ 0 \cdot 4055 \cdot 21.07+0.1253 \cdot 20 \cdot 86 }$$

Evaluate

$$\frac{171338137}{431032}\approx 397.506767479$$

Solution Steps

Multiply 0.4055 and 21 to get 8.5155.

$$\frac{8.5155-67\times 313+0.1253\times 2986\times 285}{0\times 4055\times 21.07+0.1253\times 20\times 86}$$

Multiply 67 and 313 to get 20971.

$$\frac{8.5155-20971+0.1253\times 2986\times 285}{0\times 4055\times 21.07+0.1253\times 20\times 86}$$

Subtract 20971 from 8.5155 to get -20962.4845.

$$\frac{-20962.4845+0.1253\times 2986\times 285}{0\times 4055\times 21.07+0.1253\times 20\times 86}$$

Multiply 0.1253 and 2986 to get 374.1458.

$$\frac{-20962.4845+374.1458\times 285}{0\times 4055\times 21.07+0.1253\times 20\times 86}$$

Multiply 374.1458 and 285 to get 106631.553.

$$\frac{-20962.4845+106631.553}{0\times 4055\times 21.07+0.1253\times 20\times 86}$$

Add -20962.4845 and 106631.553 to get 85669.0685.

$$\frac{85669.0685}{0\times 4055\times 21.07+0.1253\times 20\times 86}$$

Multiply 0 and 4055 to get 0.

$$\frac{85669.0685}{0\times 21.07+0.1253\times 20\times 86}$$

Multiply 0 and 21.07 to get 0.

$$\frac{85669.0685}{0+0.1253\times 20\times 86}$$

Multiply 0.1253 and 20 to get 2.506.

$$\frac{85669.0685}{0+2.506\times 86}$$

Multiply 2.506 and 86 to get 215.516.

$$\frac{85669.0685}{0+215.516}$$

Add 0 and 215.516 to get 215.516.

$$\frac{85669.0685}{215.516}$$

Expand \frac{85669.0685}{215.516} by multiplying both numerator and the denominator by 10000.

$$\frac{856690685}{2155160}$$

Reduce the fraction \frac{856690685}{2155160} to lowest terms by extracting and canceling out 5.

$$\frac{171338137}{431032}$$

Factor

$$\frac{107 \cdot 499 \cdot 3209}{7 \cdot 43 \cdot 179 \cdot 2 ^ {3}} = 397\frac{218433}{431032} = 397.5067674789807$$