Solve 0.63*(378+27)+0.73*210+0.83*84/672+27

$$\frac{ 0.63 \times (378+27)+0.73 \times 210+0.83 \times 84 }{ 672+27 }$$

Evaluate

$$\frac{15939}{23300}\approx 0.684077253$$

Solution Steps

Add 378 and 27 to get 405.

$$\frac{0.63\times 405+0.73\times 210+0.83\times 84}{672+27}$$

Multiply 0.63 and 405 to get 255.15.

$$\frac{255.15+0.73\times 210+0.83\times 84}{672+27}$$

Multiply 0.73 and 210 to get 153.3.

$$\frac{255.15+153.3+0.83\times 84}{672+27}$$

Add 255.15 and 153.3 to get 408.45.

$$\frac{408.45+0.83\times 84}{672+27}$$

Multiply 0.83 and 84 to get 69.72.

$$\frac{408.45+69.72}{672+27}$$

Add 408.45 and 69.72 to get 478.17.

$$\frac{478.17}{672+27}$$

Add 672 and 27 to get 699.

$$\frac{478.17}{699}$$

Expand \frac{478.17}{699} by multiplying both numerator and the denominator by 100.

$$\frac{47817}{69900}$$

Reduce the fraction \frac{47817}{69900} to lowest terms by extracting and canceling out 3.

$$\frac{15939}{23300}$$

Factor

$$\frac{7 \cdot 11 \cdot 23 \cdot 3 ^ {2}}{233 \cdot 2 ^ {2} \cdot 5 ^ {2}} = 0.6840772532188841$$