Solve 1.732*19.1*9/380*(14.4*0.82+0.139*0.31)

$$\frac{ 1.732 \times 19.1 \times 9 }{ 380 } \times (14.4 \times 0.82+0.139 \times 0.31)$$

Evaluate

$$\frac{882108626643}{95000000000}\approx 9.285353965$$

Solution Steps

Multiply 1.732 and 19.1 to get 33.0812.

$$\frac{33.0812\times 9}{380}\left(14.4\times 0.82+0.139\times 0.31\right)$$

Multiply 33.0812 and 9 to get 297.7308.

$$\frac{297.7308}{380}\left(14.4\times 0.82+0.139\times 0.31\right)$$

Expand \frac{297.7308}{380} by multiplying both numerator and the denominator by 10000.

$$\frac{2977308}{3800000}\left(14.4\times 0.82+0.139\times 0.31\right)$$

Reduce the fraction \frac{2977308}{3800000} to lowest terms by extracting and canceling out 4.

$$\frac{744327}{950000}\left(14.4\times 0.82+0.139\times 0.31\right)$$

Multiply 14.4 and 0.82 to get 11.808.

$$\frac{744327}{950000}\left(11.808+0.139\times 0.31\right)$$

Multiply 0.139 and 0.31 to get 0.04309.

$$\frac{744327}{950000}\left(11.808+0.04309\right)$$

Add 11.808 and 0.04309 to get 11.85109.

$$\frac{744327}{950000}\times 11.85109$$

Convert decimal number 11.85109 to fraction \frac{1185109}{100000}.

$$\frac{744327}{950000}\times \frac{1185109}{100000}$$

Multiply \frac{744327}{950000} times \frac{1185109}{100000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{744327\times 1185109}{950000\times 100000}$$

Do the multiplications in the fraction \frac{744327\times 1185109}{950000\times 100000}.

$$\frac{882108626643}{95000000000}$$

Factor

$$\frac{191 \cdot 433 \cdot 1185109 \cdot 3 ^ {2}}{19 \cdot 2 ^ {9} \cdot 5 ^ {10}} = 9\frac{27108626643}{95000000000} = 9.285353964663157$$